Zentralblatt MATH

Publications in Additive Number Theory
Zbl 010.29401  •  Erdös, Paul; Turán, Paul , On a problem in the elementary theory of numbers. ,
Am. Math. Mon. 41, 608-611 (1934). [Reviewer: Davenport (Cambridge)] , 11B83
Zbl 012.01201  •  Erdös, Paul; Turán, Paul , Ein zahlentheoretischer Satz. (A number-theoretical theorem.) ,
Mitteil. Forsch.-Inst. Math. Mech. Univ. Tomsk 1, 101-103 (1935). [Reviewer: Davenport (Cambridge)] , 11B25 11N13
Zbl 012.05202  •  Erdös, Paul , Note on sequences of integers no one of which is divisible by any other. ,
J. London Math. Soc. 10, 126-128 (1935). [Reviewer: Davenport (Cambridge)] , 11B83 11N25
Zbl 013.00602  •  Erdös, Paul; Turán, Paul , Über die Vereinfachung eines Landauschen Satzes. (On a simplification of a theorem of Landau.) ,
Mitteil. Forsch.-Inst. Math. Mech. Univ. Tomsk 1, 144-147 (1935). [Reviewer: Hans Heilbronn (Cambridge)] , 11B25
Zbl 013.10402  •  Erdös, Paul , The representation of an integer as the sum of the square of a prime and of a square-free integer. ,
J. London Math. Soc. 10, 243-245 (1935). [Reviewer: Wright (Aberdeen)] , 11P32 11N25
Zbl 013.15001  •  Erdös, Paul , On the arithmetical density of the sum of two sequences one of which forms a basis for the integers. ,
Acta Arith. 1, 197-200 (1936). [Reviewer: A.Walfisz] , 11B13
Zbl 013.39003  •  Erdös, Paul , On the representation of an integer as the sum of k k-th powers. ,
J. London Math. Soc. 11, 133-136 (1936). [Reviewer: Wright (Aberdeen)] , 11P05 11P55 11D85
Zbl 015.10001  •  Davenport, H.; Erdös, Paul , On sequences of positive integers. ,
Acta Arith. 2, 147-151 (1936). [Reviewer: E.C.Titchmarsh (Oxford)] , 11B83 11B05
Zbl 015.15203  •  Erdös, Paul; Turán, Paul , On some sequences of integers. ,
J. London Math. Soc. 11, 261-264 (1936). [Reviewer: Davenport (Cambridge)] , 11B83
Zbl 016.10202  •  Erdös, Paul , On the easier Waring problem for powers of primes. I. ,
Proc. Camb. Philos. Soc. 33, 6-12 (1937). [Reviewer: Hans Heilbronn (Cambridge)] , 11P32
Zbl 016.20103  •  Erdös, Paul , On the sum and difference of squares of primes. ,
J. London Math. Soc. 12, 133-136 (1937). [Reviewer: Wright (Aberdeen)] , 11P32
Zbl 019.10404  •  Erdös, Paul , On the asymptotic density of the sum of two sequences one of which forms a basis for the integers. II. ,
Trav. Inst. Math. Tbilissi 3, 217-223 (1938). [Reviewer: A.Walfisz (Tiflis)] , 11B13 11B05
Zbl 020.00504  •  Erdös, Paul , On sequences of integers no one of which divides the product of two others and on some related problems. ,
Mitteil. Forsch.-Inst. Math. Mech. Univ. Tomsk 2, 74-82 (1938). [Reviewer: Wright (Aberdeen)] , 11B83
Zbl 021.10602  •  Erdös, Paul , On the easier Waring problem for powers of primes. II. ,
Proc. Camb. Philos. Soc. 35, 149-165 (1939). [Reviewer: Wright (Aberdeen)] , 11P32
Zbl 021.20703  •  Davenport, H.; Erdös, Paul , On sums of positive integral kth powers. ,
Ann. of Math., II. Ser. 40, 533-536 (1939). [Reviewer: N.G.W.H.Beeger (Amsterdam)] , 11P05 11P55 11D85
Zbl 023.00902  •  Erdös, Paul , On additive properties of squares of primes. I. ,
Proc. Akad. Wet. Amsterdam 41, 37-41 (1938). [Reviewer: Jarnik] , 11P32 11A41
Zbl 025.10703  •  Erdös, Paul; Lehner, Joseph , The distribution of the number of summands in the partitions of a positive integer. ,
Duke Math. J. 8, 335-345 (1941). [Reviewer: Jarnik] , 11P81 11P82
Zbl 032.01301  •  Erdös, Paul , On the density of some sequences of integers. ,
Bull. Am. Math. Soc. 54, 685-692 (1948). [Reviewer: Ostmann (Marburg)] , 11B83 11B05
Zbl 032.01302  •  Erdös, Paul; Gaal, S.A. , On the representation of 1,2,...,N by differences. ,
Proc. Akad. Wet. Amsterdam 51, 1155-1158 (1948). [Reviewer: Rédei (Szeged)] , 11B83 11B13
Zbl 041.36808  •  Erdös, Paul , On integers of the form 2k+p and some related problems. ,
Summa Brasil. Math. 2, 113-123 (1950). , 11P32
Zbl 043.04902  •  Davenport, H.; Erdös, Paul , On sequences of positive integers. ,
J. Indian Math. Soc., n. Ser. 15, 19-24 (1951). [Reviewer: Edmund Hlawka] , 11B83 11B05
Zbl 050.27003  •  Erdös, Paul , On a conjecture of Hammersley. ,
J. London Math. Soc. 28, 232-236 (1953). [Reviewer: H.-E.Richert] , 11B83 05E05
Zbl 056.27001  •  Erdös, Paul , Some results on additive number theory. ,
Proc. Am. Math. Soc. 5, 847-853 (1954). [Reviewer: H.Ostmann] , 11B30
Zbl 057.03901  •  Erdös, Paul , On a problem of Sidon in additive number theory. ,
Acta Sci. Math. 15, 255-259 (1954). [Reviewer: H.D.Kloosterman] , 11B34
Zbl 061.07301  •  Erdös, Paul; Turán, Paul , On a problem of Sidon in additive number theory, and on some related problems. ,
J. London Math. Soc. 16, 212-215 (1941). , 11B34
Zbl 061.07302  •  Erdös, Paul , On a problem of Sidon in additive number theory and on some related problems. Addendum. ,
J. London Math. Soc. 19, 208 (1944). [Reviewer: P.T.Bateman] , 11B34
Zbl 061.07905  •  Erdös, Paul , On an elementary proof of some asymptotic formulas in the theory of partitions. ,
Ann. of Math., II. Ser. 43, 437-450 (1942). , 11P82 11P81
Zbl 061.07906  •  Erdös, Paul , On some asymptotic formulas in the theory of partitions. ,
Bull. Am. Math. Soc. 52, 185-188 (1946). [Reviewer: P.T.Bateman] , 11P81 11P82
Zbl 061.12804  •  Erdös, Paul , A note on Farey series. ,
Q. J. Math., Oxf. Ser. 14, 82-85 (1943). [Reviewer: P.T.Bateman] , 11B57
Zbl 063.00009  •  Erdös, Paul; Ginzburg, A.; Ziv, A. , Theorem in the additive number theory ,
Bull. Res. Council Israel 10F, 41-43 (1961). , 11B75 11P99
Zbl 065.27605  •  Erdös, Paul , On consecutive integers. ,
Nieuw Arch. Wiskunde, III. R. 3, 124-128 (1955). [Reviewer: B.Schoeneberg] , 11B83
Zbl 067.02302  •  Erdös, Paul , Über die Anzahl der Lösungen von [p-1,q-1] \leq x. (On the number of solutions of [p-1,q-1] \leq x.) ,
Monatsh. Math. 59, 318-319 (1955). [Reviewer: H.D.Kloosterman] , 11P99
Zbl 070.04104  •  Erdös, Paul; Fuchs, W.H.J. , On a problem of additive number theory. ,
J. London Math. Soc. 31, 67-73 (1956). [Reviewer: S.Selberg] , 11B34
Zbl 073.03102  •  Erdös, Paul , Problems and results in additive number theory. ,
Centre Belge Rech. Math., Colloque Theorie des Nombres, Bruxelles 19-21 dec. 1955, 127-137 (1956). [Reviewer: H.Ostmann] , 11Bxx 11K99 11Pxx 00A07
Zbl 074.03502  •  Bateman, Paul T.; Erdös, Paul , Monotonicity of partition functions. ,
Mathematika, London 3, 1-14 (1956). [Reviewer: E.M.Wright] , 11P82
Zbl 077.26303  •  Erdös, Paul , Einige Bemerkungen zur Arbeit von A.Stöhr: ``Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe''. (Some remarks on the paper of A.Stöhr: ``Solved and unsolved questions on bases of the natural numbers''.) ,
J. Reine Angew. Math. 197, 216-219 (1957). [Reviewer: H.Ostmann] , 11B13
Zbl 081.03901  •  Erdös, Paul , Über eine Art von Lakunarität. (On some kind of lucunarity.) ,
Colloq. Math. 5, 6-7 (1958). [Reviewer: H.Ostmann] , 11B05
Zbl 083.03903  •  Erdös, Paul; Scherk, P. , On a question of additive number theory. ,
Acta Arith. 5, 45-55 (1959). [Reviewer: B.Volkmann] , 11B13
Zbl 091.04401  •  Erdös, Paul; Rényi, Alfréd , Additive properties of random sequences of positive integers. ,
Acta Arith. 6, 83-110 (1960). [Reviewer: H.B.Mann] , 11B34 11B83 60F99
Zbl 100.27204  •  Erdös, Paul; Surányi, János , Über ein Problem aus der additiven Zahlentheorie. (On a problem from additive number theory.) ,
Mat. Lapok 10, 284-290 (1960). [Reviewer: I.S.Gál] , 11B83 11A67
Zbl 105.26605  •  Erdös, Paul , Über einige Probleme der additiven Zahlentheorie. (On some problems of additive number theory.) ,
Sammelband Leonhard Euler, Dtsch. Akad. Wiss. Berlin 116-119 (1959). [Reviewer: O.Körner] , 11B34 00A07
Zbl 106.03805  •  Erdös, Paul , On the representation of large integers as sums of distinct summands taken from a fixed set ,
Acta Arith. 7, 345-354 (1962). [Reviewer: O.Körner] , 11B13
Zbl 114.26304  •  Erdös, Paul , Über einige Probleme der additiven Zahlentheorie. (On some problems of additive number theory.) ,
J. Reine Angew. Math. 206, 61-66 (1961). [Reviewer: E.Härtter] , 11B13 11B83
Zbl 123.25503  •  Erdös, Paul , Remarks on number theory. III ,
Mat. Lapok 13, 28-37 (1962). , 11B83
Zbl 125.02306  •  Erdös, Paul , On some divisibility properties of 2n\choose n ,
Can. Math. Bull. 7, 513-518 (1964). [Reviewer: L.Carlitz] , 11B65
Zbl 127.02202  •  Erdös, Paul , Remarks on number theory. IV: Extremal problems in number theory. I ,
Mat. Lapok 13, 228-254 (1962). [Reviewer: T.Salát] , 11B83 11B75 00A07
Zbl 127.02203  •  Erdös, Paul , On a problem in elementary number theory and a combinatorial problem ,
Math. Comput. 18, 644-646 (1964). [Reviewer: L.Carlitz] , 11B83
Zbl 131.03902  •  Erdös, Paul , Some remarks on number theory ,
Isr. J. Math. 3, 6-12 (1965). [Reviewer: H.-E.Richert] , 11B83 11B75
Zbl 135.09701  •  Erdös, Paul; Härtter, E. , Konstruktion von nichtperiodischen Minimalbasen mit der Dichte ½ für die Menge der nichtnegativen ganzen Zahlen. (Construction of nonperiodic minimal bases with the density ½ for the set on nonnegative integers.) ,
J. Reine Angew. Math. 221, 44-47 (1966). [Reviewer: H.Wegmann] , 11B13
Zbl 135.10003  •  Erdös, Paul; Gordon, B.; Rubel, L.A.; Straus, E.G. , Tauberian theorems for sum sets ,
Acta Arith. 9, 177-189 (1964). [Reviewer: K.Prachar] , 11B05 11M45
Zbl 135.10202  •  Erdös, Paul; Volkmann, B. , Additive Gruppen mit vorgegebener Hausdorffscher Dimension. (Additive groups with prescribed Hausdorff dimension.) ,
J. Reine Angew. Math. 221, 203-208 (1966). [Reviewer: H.Wegmann] , 11B99 28A78
Zbl 144.28103  •  Erdös, Paul , Extremal problems in number theory ,
Proc. Sympos. Pure Math. 8, 181-189 (1965). [Reviewer: R.C.Entringer] , 11B75 11B25
Zbl 146.27101  •  Erdös, Paul; Sarközy, A.; Szemeredi, E. , On a theorem of Behrend ,
J. Aust. Math. Soc. 7, 9-16 (1967). [Reviewer: E.Grosswald] , 11B83
Zbl 146.27102  •  Erdös, Paul; Sarközy, A.; Szemeredi, E. , On the divisibility properties of sequences of integers. I ,
Acta Arith. 11, 411-418 (1966). [Reviewer: E.Grosswald] , 11B83 11B05
Zbl 146.27103  •  Erdös, Paul; Sarközi, A.; Szemeredi, E. , On divisibility properties of sequences of integers ,
Stud. Sci. Math. Hungar. 1, 431-435 (1966). [Reviewer: E.Grosswald] , 11B83 11B05
Zbl 146.27201  •  Erdös, Paul , Remarks on number theory. V: Extremal problems in number theory. II ,
Mat. Lapok 17, 135-155 (1966). , 11B75 11B83
Zbl 147.02601  •  Erdös, Paul , On the difference of consecutive terms of sequences defined by divisibility properties ,
Acta Arith. 12, 175-182 (1966). [Reviewer: H.B.Mann] , 11B83
Zbl 151.03502  •  Erdös, Paul; Sarközy, A.; Szemeredi, E. , On the solvability of the equations [ai,aj] = ar and (a'i,a'j) = a'r in sequences of positive density ,
J. Math. Anal. Appl. 15, 60-64 (1966). [Reviewer: Cs.Pogany] , 11B83
Zbl 155.08802  •  Erdös, Paul; Sarközi, A.; Szemeredi, E. , On the solvability of certain equations in sequences of positive upper logarithmic density ,
J. Lond. Math. Soc. 43, 71-78 (1968). , 11B83 11B05
Zbl 159.06003  •  Erdös, Paul; Sarközi, A.; Szemeredi, E. , On the solvability of some equations in dense sequences of integers ,
Sov. Math., Dokl. 8, 1160-1164 (1967); translation from Dokl. Akad. Nauk SSSR 176, 541-544 (1967). , 11B83 11B75
Zbl 161.04703  •  Erdös, Paul; Hartman, S. , On sequences of distances of a sequence ,
Colloq. Math. 17, 191-193 (1967). [Reviewer: H.B.Mann] , 11B83 11B05
Zbl 166.05106  •  Erdös, Paul; Sarközi, A.; Szemeredi, E. , On an extremal problem concerning primitive sequences ,
J. Lond. Math. Soc. 42, 484-488 (1967). [Reviewer: E.Härtter] , 11B83
Zbl 186.08004  •  Erdös, Paul; Sarközi, A.; Szemeredi, E. , On the divisibility properties of sequences of integers. II ,
Acta Arith. 14, 1-12 (1968). [Reviewer: E.Grosswald] , 11B83
Zbl 188.34504  •  Erdös, Paul; Sárközi, A.; Szemeredi, E. , On some extremal properties of sequences of integers ,
Ann. Univ. Sci. Budapest. Rolando Eötvös, Sect. Math. 12, 131-135 (1969). , 11B83
Zbl 201.05102  •  Erdös, Paul; Sárközy, András , On the divisibility properties of sequences of integers ,
Proc. Lond. Math. Soc., III. Ser. 21, 97-101 (1970). , 11B83
Zbl 208.05601  •  Erdös, Paul , On some applications of graph theory to number-theoretic problems ,
Publ. Ramanujan Inst. 1 (1968/69), 131-136 (1969). [Reviewer: I.Anderson] , 11B83 11B75
Zbl 208.31403  •  Erdös, Paul; Sárközi, A.; Szemerédi, E. , Über Folgen ganzer Zahlen. (On sequences of integers.) ,
Abh. Zahlentheorie Anal., 77-87 (1968). [Reviewer: E.Grosswald] , 11B83
Zbl 209.35402  •  Erdös, Paul; Rényi, Alfréd , On some applications of probability methods to additive number theoretic problems ,
Contrib. Ergodic Theory Probab., Lecture Notes Math. 160, 37-44 (1970). , 11B05 11K99
Zbl 212.39704  •  Erdös, Paul; Sárközi, A.; Szemerédi, E. , On divisibility properties of sequences of integers ,
Number Theory, Colloqu. Debrecen 1968, 35-49 (1970). , 11B83 11-02
Zbl 214.30603  •  Erdös, Paul , Some applications of graph theory to number theory ,
Proc. 2nd Chapel Hill Conf. Combin. Math. Appl., Univ. North Carolina 1970, 136-145 (1970). , 11B75 11N99
Zbl 217.03101  •  Erdös, Paul , Some problems in number theory ,
Computers in Number Theory, Proc. Atlas Sympos. No.2, Oxford 1969, 405-414 (1971). , 11B65 11B75 00A07
Zbl 217.32202  •  Erdös, Paul; Turán, P. , One some general problems in the theory of partitions. I ,
Acta Arith. 18, 53-62 (1971). , 11P81 11P82
Zbl 219.10064  •  Erdös, Paul , Remarks on number theory. III: On addition chains ,
Acta Arith. 6, 77-81 (1960). [Reviewer: I.Anderson] , 11B75 11B83
Zbl 223.10005  •  Erdös, Paul; Turán, P. , On some problems of a statistical group theory. V. ,
Period. Math. Hung. 1, 5-13 (1971). , 11P82 20P05 05A17 20B35 20B30 00A07
Zbl 233.05017  •  Erdös, Paul , On a problem of Grünbaum. ,
Can. Math. Bull. 15, 23-25 (1972). , 11B83 00A07
Zbl 235.10006  •  Erdös, Paul; Graham, Ronald L. , On sums of Fibonacci numbers. ,
Fibonacci Q. 10, 249-254 (1972). , 11B39
Zbl 278.10047  •  Erdös, Paul; Babu, Gutti Jogesh; Ramachandra, K. , An asymptotic formula in additive number theory. ,
Acta Arith. 28, 405-412 (1976). , 11P32
Zbl 295.10014  •  Erdös, Paul; Vaughan, R.C. , Bounds for the r-th coefficients of cyclotomic polynomials. ,
J. London Math. Soc., II. Ser. 8, 393-400 (1974). [Reviewer: H.Möller] , 11B39
Zbl 296.10008  •  Erdös, Paul; Graham, Ronald L.; Ruzsa, I.Z.; Straus, E.G. , On the prime factors of \binom{2n}{n}. ,
Math. Comput. 29, 83-92 (1975). [Reviewer: P.Hagis jun.] , 11B39 11A41 05A10
Zbl 296.10031  •  Erdös, Paul; Nathanson, Melvyn B. , Maximal asymptotic nonbases. ,
Proc. Am. Math. Soc. 48, 57-60 (1975). [Reviewer: A.Mrose] , 11P99 11B13 11B83
Zbl 303.10057  •  Choi, S.L.G.; Erdös, Paul; Szemeredi, E. , Some additive and multiplicative problems in number theory. ,
Acta Arith. 27, 37-50 (1975). , 11B99 11B83 00A07
Zbl 305.10050  •  Erdös, Paul , Problems and results in combinatorial number theory. ,
Asterisque 24-25, 295-310 (1975). [Reviewer: E.Härtter] , 11B99 11-02 11B83 05A05 00A07
Zbl 314.10040  •  Bovey, J.D.; Erdös, Paul; Niven, Ivan , Conditions for a zero sum modulo n. ,
Can. Math. Bull. 18, 27-29 (1975). [Reviewer: I.Anderson] , 11B13
Zbl 316.10037  •  Deza, Michel; Erdös, Paul , Extensions de quelques théorèmes de densité. (Extensions of some theorems on density.) ,
Sémin. Delange-Pisot-Poitou, 16e année 1974/75, Théorie des Nombres, Fasc. 1, Exposé 8, 2 p. (1975). , 11B83 05A05
Zbl 319.10066  •  Erdös, Paul; Nathanson, Melvyn B. , Oscillations of bases for the natural numbers. ,
Proc. Am. Math. Soc. 53, 253-258 (1975). [Reviewer: E.Härtter] , 11B13
Zbl 326.10042  •  Erdös, Paul; Richmond, B. , Concerning periodicity in the asymptotic behaviour of partition functions. ,
J. Aust. Math. Soc., Ser. A 21, 447-456 (1976). , 11P81 11P81
Zbl 329.10045  •  Erdös, Paul; Nathanson, Melvyn B. , Partitions of the natural numbers into infinitely oscillating bases and nonbases. ,
Comment. Math. Helv. 51, 171-182 (1976). [Reviewer: E.Härtter] , 11B13
Zbl 337.10005  •  Erdös, Paul , On asymptotic properties of aliquot sequences. ,
Math. Comput. 30, 641-645 (1976). [Reviewer: P.Hagis jun] , 11B37 11A25
Zbl 349.10046  •  Erdös, Paul; Szemeredi, E. , On a problem of Graham. ,
Publ. Math., Debrecen 23, 123-127 (1976). [Reviewer: I.Anderson] , 11B13
Zbl 349.10047  •  Deshouillers, J.M.; Erdös, Paul; Sárközy, András , On additive bases. ,
Acta Arith. 30, 121-132 (1976). [Reviewer: E.Härtter] , 11B13
Zbl 354.10010  •  Erdös, Paul; Graham, Ronald L. , On the prime factors of \binom{n}{k}. ,
Fibonacci Q. 14, 348-352 (1976). [Reviewer: I.Z.Ruzsa] , 11B39 05A10 11A41
Zbl 357.10029  •  Erdös, Paul; Nathanson, Melvyn B. , Nonbases of density zero not contained in maximal nonbases. ,
J. London Math. Soc., II. Ser. 15, 403-405 (1977). [Reviewer: E.Härtter] , 11B13
Zbl 359.10045  •  Erdös, Paul; Newman, D.J. , Bases for sets of integers. ,
J. Number Theory 9, 420-425 (1977). [Reviewer: I.Anderson] , 11B13 11B83
Zbl 376.10011  •  Alladi, K.; Erdös, Paul; Hoggatt, V.E.jun. , On additive partitions of integers. ,
Discrete Math. 22, 201-211 (1978). [Reviewer: M.S.Cheema] , 11B37 11P81 05A17
Zbl 383.10031  •  Erdös, Paul; Szalay, Mihaly , The mathematical work of Paul Turán. I: 2. Statistical group theory and theory of partitions. ,
Mat. Lapok 25(1974), 229-238 (1977). , 11P81 20P05 20C15 11P81 05A17 20B05 11N45 11-03 20-03 01A70
Zbl 389.10038  •  Erdös, Paul; Nathanson, Melvyn B. , Sets of natural numbers with no minimal asymptotic bases. ,
Proc. Am. Math. Soc. 70, 100-102 (1978). [Reviewer: E.Härtter] , 11B13
Zbl 391.10038  •  Borosh, I.; Chui, C.K.; Erdös, Paul , On changes of signs in infinite series. ,
Anal. Math. 4, 3-12 (1978). [Reviewer: M.S.Rangachari] , 11B83 40A05 11B39
Zbl 401.10057  •  Erdös, Paul; Richmond, B. , On partitions of N into summands coprime to N. ,
Aequationes Math. 18, 178-186 (1978). , 11P81
Zbl 401.10068  •  Erdös, Paul; Sarközy, A. , On products of integers. II. ,
Acta Sci. Math. 40, 243-259 (1978). [Reviewer: D.Suryanarayana] , 11B83 11N13
Zbl 403.10004  •  Erdös, Paul; Loxton, J.H. , Some problems in partitio numerorum. ,
J. Aust. Math. Soc., Ser. A 27, 319-331 (1979). , 11P81 11N05 00A07
Zbl 404.10029  •  Erdös, Paul; Sárközy, András , On differences and sums of integers. I. ,
J. Number Theory 10, 430-450 (1978). [Reviewer: M.M.Dodson] , 11B83 11B13 11P99 11D85 11L03
Zbl 405.10011  •  Erdös, Paul; Wagstaff, Samuel S.jun. , The fractional parts of the Bernoulli numbers. ,
Ill. J. Math. 24, 104-112 (1980). [Reviewer: P.Erdös] , 11B39
Zbl 405.10036  •  Erdös, Paul; Odlyzko, Andrew M. , On the density of odd integers of the form (p-1)2-n and related questions. ,
J. Number Theory 11, 257-263 (1979). [Reviewer: I.Z.Ruzsa] , 11B83 11N05 11N35
Zbl 409.10042  •  Erdös, Paul; Nathanson, Melvyn B. , Bases and nonbases of square-free integers. ,
J. Number Theory 11, 197-208 (1979). [Reviewer: E.Härtter] , 11B13
Zbl 409.10043  •  Erdös, Paul; Saffari, B.; Vaughan, R.C. , On the asymptotic density of sets of integers. II. ,
J. London Math. Soc., II. Ser. 19, 17-20 (1979). [Reviewer: D.Suryanarayana] , 11B83
Zbl 413.10049  •  Erdös, Paul; Sárközy, András , On differences and sums of integers. II. ,
Bull. Greek Math. Soc. 18, 204-223 (1977). [Reviewer: M.M.Dodson] , 11B13 11B83 11P99 11D85
Zbl 414.10053  •  Erdös, Paul; Nathanson, Melvyn B. , Systems of distinct representatives and minimal bases in additive number theory. ,
Number theory, Proc. Conf., Carbondale 1979, Lect. Notes Math. 751, 98- 107 (1979). [Reviewer: E.Härtter] , 11B13
Zbl 417.10047  •  Erdös, Paul; Hardy, G.E.; Subbarao, M.V. , On the Schnirelmann density of k-free integers. ,
Indian J. Math. 20, 45-56 (1978). [Reviewer: B.Garrison] , 11B83 11N05
Zbl 426.10057  •  Erdös, Paul; Nathanson, Melvyn B. , Minimal asymptotic bases for the natural numbers. ,
J. Number Theory 12, 154-159 (1980). , 11B13
Zbl 436.10024  •  Choi, S.L.G.; Erdös, Paul; Nathanson, Melvyn B. , Lagrange's theorem with N1/3 squares. ,
Proc. Am. Math. Soc. 79, 203-205 (1980). [Reviewer: E.Härtter] , 11P05
Zbl 438.10036  •  Erdös, Paul; Babu, Gutti Jogesh; Ramachandra, K. , An asymptotic formula in additive number theory. II. ,
J. Indian Math. Soc., New Ser. 41, 281-291 (1977). , 11P32 11N37 11N35
Zbl 442.10037  •  Erdös, Paul , Some applications of Ramsey's theorem to additive number theory. ,
Eur. J. Comb. 1, 43-46 (1980). [Reviewer: A.Mrose] , 11B83 11B13
Zbl 443.10036  •  Erdös, Paul; Graham, Ronald L. , On bases with an exact order. ,
Acta Arith. 37, 201-207 (1980). [Reviewer: K.Thanigasalam] , 11B13
Zbl 461.10047  •  Erdös, Paul; Sárközy, András; Szemeredi, E. , On some extremal properties of sequences of integers. II. ,
Publ. Math. 27, 117-125 (1980). [Reviewer: A.Mrose] , 11B99 11B83
Zbl 469.10034  •  Brillhart, John; Erdös, Paul; Morton, Patrick , On sums of Rudin-Shapiro coefficients. II. ,
Pac. J. Math. 107, 39-69 (1983). , 11B83 11K65 11K16 11A63
Zbl 469.10036  •  Erdös, Paul , Some extremal problems on divisibility properties of sequences of integers. ,
Fibonacci Q. 19, 208-213 (1981). [Reviewer: K.Ramachandra] , 11B83 11B05 11B13
Zbl 469.10037  •  Burr, Stefan A.; Erdös, Paul , Completeness properties of perturbed sequences. ,
J. Number Theory 13, 446-455 (1981). [Reviewer: M.M.Dodson] , 11B99 11B25 11A99
Zbl 476.10045  •  Erdös, Paul; Szemeredi, Endre , Remarks on a problem of the American Mathematical Monthly. ,
Mat. Lapok 28, 121-124 (1980). [Reviewer: T.Salát] , 11B83 11A05
Zbl 483.10014  •  Erdös, Paul; Richmond, B. , Partitions into summands of the form [malpha]. ,
Numerical mathematics and computing, Proc. 7th Manitoba Conf., Winnipeg/Can. 1977, Congr. Numerantium 20, 371-377 (1978). , 11P81
Zbl 491.10044  •  Erdös, Paul , Some problems on additive number theory. ,
Ann. Discrete Math. 12, 113-116 (1982). [Reviewer: B.Garrison] , 11B83 05B10 11B75
Zbl 518.10063  •  Erdös, Paul; Freud, R.; Hegyvari, N. , Arithmetical properties of permutations of integers. ,
Acta Math. Hung. 41, 169-176 (1983). [Reviewer: I.Anderson] , 11B05 11A05 11B75 05A05
Zbl 523.10029  •  Erdös, Paul; Szalay, M. , On some problems of J. Denes and P. Turán. ,
Studies in pure mathematics, Mem. of P. Turán, 187-212 (1983). , 11P81 11P81 05A17
Zbl 526.10011  •  Erdös, Paul; Szemeredi, E. , On sums and products of integers. ,
Studies in pure mathematics, Mem. of P. Turan, 213-218 (1983). [Reviewer: A.Balog] , 11B75 11B83 11B13
Zbl 539.10038  •  Erdös, Paul; Nathanson, Melvyn B. , Lagrange's theorem and thin subsequences of squares. ,
Contributions to probability, Collect. Pap. dedic. E. Lukacs, 3-9 (1981). [Reviewer: J.Zöllner] , 11P05 11B13 11P32 11K99
Zbl 542.10011  •  Erdös, Paul , On some unusual, non-conventional problems in additive number theory. ,
Mat. Lapok 30, 9-14 (1982). [Reviewer: I.Z.Ruzsa] , 11B75 11B83 11P99 00A07
Zbl 542.10040  •  Erdös, Paul; Sárközy, András , On a problem of R. R. Hall. ,
Mat. Lapok 30, 23-31 (1982). [Reviewer: I.Z.Ruzsa] , 11B83 11N37 11A05
Zbl 544.10060  •  Erdös, Paul; Freud, Robert , On disjoint sets of differences. ,
J. Number Theory 18, 99-109 (1984). [Reviewer: A.Mrose] , 11B83 05B10
Zbl 548.10010  •  Erdös, Paul; Szalay, M. , On the statistical theory of partitions. ,
Topics in classical number theory, Colloq. Budapest 1981, Vol. I, Colloq. Math. Soc. János Bolyai 34, 397-450 (1984). , 11P81 11P81
Zbl 558.10010  •  Erdös, Paul; Hildebrand, A.; Odlyzko, Andrew M.; Pudaite, P.; Reznick, B. , The asymptotic behavior of a family of sequences. ,
Pac. J. Math. 126, No.2, 227-241 (1987). [Reviewer: P.Erdös] , 11B37 11A25 11B99
Zbl 562.10029  •  Erdös, Paul; Freud, R.; Hegyvári, N. , Some results in combinatorial number theory. ,
Topics in classical number theory, Colloq. Budapest 1981, Vol. I, Colloq. Math. Soc. János Bolyai 34, 389-396 (1984). [Reviewer: I.Anderson] , 11B83 11B75 11-02
Zbl 563.10002  •  Erdös, Paul , Miscellaneous problems in number theory. ,
Numerical mathematics and computing, Proc. 11th Manitoba Conf., Winnipeg/Manit. 1981, Congr. Numerantium 34, 25-45 (1982). [Reviewer: K.Ramachandra] , 11-02 11A41 11N37 11B13 11P99 00A07
Zbl 563.10003  •  Erdös, Paul , Extremal problems in number theory, combinatorics and geometry. ,
Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 51-70 (1984). [Reviewer: St.Porubský] , 11-02 05-02 52-02 11B25 00A07
Zbl 569.10032  •  Erdös, Paul; Sárközy, A. , Problems and results on additive properties of general sequences. I. ,
Pac. J. Math. 118, 347-357 (1985). [Reviewer: A.Balog] , 11B13 00A07
Zbl 575.10041  •  Erdös, Paul; Harzheim, E. , Congruent subsets of infinite sets of natural numbers. ,
J. Reine Angew. Math. 367, 207-214 (1986). , 11B83 11B05
Zbl 578.10055  •  Burr, Stefan A.; Erdös, Paul , A Ramsey-type property in additive number theory. ,
Glasg. Math. J. 27, 5-10 (1985). [Reviewer: E.Härtter] , 11B13
Zbl 581.10029  •  Alon, Noga; Erdös, Paul , An application of graph theory to additive number theory. ,
Eur. J. Comb. 6, 201-203 (1985). [Reviewer: I.Anderson] , 11B83 11P99 05C65
Zbl 588.10056  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , Problems and results on additive properties of general sequences. IV. ,
Number theory, Proc. 4th Matsci. Conf., Ootacamund/India 1984, Lect. Notes Math. 1122, 85-104 (1985). [Reviewer: A.Balog] , 11P99 11B13 05B10 00A07
Zbl 597.10055  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , Problems and results on additive properties of general sequences. V. ,
Monatsh. Math. 102, 183-197 (1986). , 11B13 00A07
Zbl 608.10050  •  Erdös, Paul; Nathanson, Melvyn B. , Independence of solution sets in additive number theory. ,
Adv. Math., Suppl. Stud. 9, 97-105 (1986). [Reviewer: J.Zöllner] , 11B13 11K99
Zbl 621.10041  •  Erdös, Paul; Sárközy, A. , Problems and results on additive properties of general sequences. II. ,
Acta Math. Hung. 48, 201-211 (1986). [Reviewer: A.Balog] , 11B13 11B83 11K65 00A07
Zbl 622.10041  •  Erdös, Paul; Nathanson, Melvyn B. , Problems and results on minimal bases in additive number theory. ,
Number theory, Semin. New York 1984/85, Lect. Notes Math. 1240, 87-96 (1987). [Reviewer: J.Zöllner] , 11B13 11B83 11P05 11P05 11P32 00A07
Zbl 627.10035  •  Erdös, Paul; Lacampagne, Carole B.; Pomerance, Carl; Selfridge, J.L. , On the Schnirelmann and asymptotic densities of sets of non-multiples. ,
Combinatorics, graph theory and computing, Proc. 16th Southeast. Conf., Boca Raton/Fla. 1985, Congr. Numerantium 48, 67-79 (1985). [Reviewer: E.J.Scourfield] , 11B05 11N37 11A25
Zbl 633.10047  •  Erdös, Paul; Nathanson, Melvyn B.; Sárközy, András , Sumsets containing infinite arithmetic progressions. ,
J. Number Theory 28, No.2, 159-166 (1988). [Reviewer: St.Porubský] , 11B25 11B83
Zbl 645.10045  •  Erdös, Paul; Nathanson, Melvyn B. , Partitions of bases into disjoint unions of bases. ,
J. Number Theory 29, No.1, 1-9 (1988). [Reviewer: M.M.Dodson] , 11B13 11B75 11P05 05C55 05A05 11P81
Zbl 651.10035  •  Erdös, Paul; Nathanson, Melvyn B. , Minimal asymptotic bases with prescribed densities. ,
Ill. J. Math. 32, No.3, 562-574 (1988). [Reviewer: E.Härtter] , 11B13 11B83
Zbl 666.10036  •  Erdös, Paul; Spencer, Joel , Monochromatic sumsets. ,
J. Comb. Theory, Ser. A 50, No.1, 162-163 (1989). [Reviewer: M.Dodson] , 11B13 05A05 11B75
Zbl 669.10078  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , Problems and results on additive properties of general sequences. III. ,
Stud. Sci. Math. Hung. 22, No.1-4, 53-63 (1987). [Reviewer: A.Balog] , 11B83 11B34 11B13 00A07
Zbl 679.10013  •  Erdös, Paul; Nicolas, J.L.; Szalay, M. , Partitions into parts which are unequal and large. ,
Number theory, Proc. 15th Journ. Arith., Ulm/FRG 1987, Lect. Notes Math. 1380, 19-30 (1989). [Reviewer: B.Garrison] , 11P81
Zbl 688.10043  •  Erdös, Paul; Hegyvári, Norbert , On prime-additive numbers. ,
Stud. Sci. Math. Hung. 27, No.1-2, 207-212 (1992). [Reviewer: P.Erdös] , 11P32 11A41
Zbl 689.10061  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , On a conjecture of Roth and some related problems. I. ,
Irregularities of partitions, Pap. Meet., Fertod/Hung. 1986, Algorithms Comb. 8, 47-59 (1989). [Reviewer: I.Z.Ruzsa] , 11B05
Zbl 692.10045  •  Erdös, Paul; Nathanson, Melvyn B. , Additive bases with many representations. ,
Acta Arith. 52, No.4, 399-406 (1989). [Reviewer: J.Zöllner] , 11B13
Zbl 695.10048  •  Cameron, Peter J.; Erdös, Paul , On the number of sets of integers with various properties. ,
Number theory, Proc. 1st Conf. Can. Number Theory Assoc., Banff/Alberta (Can.) 1988, 61-79 (1990). [Reviewer: M.Nair] , 11B13 11B25 11B99 11B75
Zbl 697.10047  •  Erdös, Paul; Freiman, Gregory , On two additive problems. ,
J. Number Theory 34, No.1, 1-12 (1990). [Reviewer: A.Balog] , 11B13 11P55 11P99 11B05
Zbl 699.10068  •  Erdös, Paul; Sárközy, A. , On a conjecture of Roth and some related problems. II. ,
Number theory, Proc. 1st Conf. Can. Number Theory Assoc., Banff/Alberta (Can.) 1988, 125-138 (1990). [Reviewer: I.Z.Ruzsa] , 11B83
Zbl 699.10069  •  Brown, T.C.; Erdös, Paul; Freedman, A.R. , Quasi-progressions and descending waves. ,
J. Comb. Theory, Ser. A 53, No.1, 81-95 (1990). [Reviewer: St.Porubský] , 11B25
Zbl 707.11071  •  Erdös, Paul; Szalay, M. , On some problems of the statistical theory of partitions. ,
Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 93-110 (1990). [Reviewer: B.Garrison] , 11P81 20P05 00A07
Zbl 709.11001  •  Erdös, Paul , On some problems and results in elementary number theory. ,
J. Sichuan Univ., Nat. Sci. Ed. 26, Spec. Issue, 1-6 (1989). , 11-02 00A07 11B75 11D57 05D05
Zbl 709.11015  •  Erdös, Paul; Maxsein, Th.; Smith, P.R. , Primzahlpotenzen in rekurrenten Folgen. (Prime powers in recurrent sequences.) ,
Analysis 10, No.1, 71-83 (1990). [Reviewer: P.Kiss] , 11B37 30B40
Zbl 715.11014  •  Erdös, Paul; Zaks, Abraham , Reducible sums and splittable sets. ,
J. Number Theory 36, No.1, 89-94 (1990). [Reviewer: St.Znám] , 11B99
Zbl 725.11007  •  Erdös, Paul; Tetali, Prasad , Representations of integers as the sum of k terms. ,
Random Struct. Algorithms 1, No.3, 245-261 (1990). [Reviewer: E.Härtter (Mainz)] , 11B13
Zbl 725.11012  •  Erdös, Paul; Sárközy, A. , On a problem of Straus. ,
Disorder in physical systems, Vol. in Honour of J. M. Hammersley 70th Birthday, 55-66 (1990). [Reviewer: M.Nair (Glasgow)] , 11B99 05D05 00A07
Zbl 727.11009  •  Erdös, Paul; Nesetril, Jaroslav; Rödl, Vojtech , On Pisier type problems and results (combinatorial applications to number theory). ,
Mathematics of Ramsey theory, Coll. Pap. Symp. Graph Theory, Prague/Czech., Algorithms Comb. 5, 214-231 (1990). [Reviewer: St.Znám (Bratislava)] , 11B75 05D10 00A07 05A18
Zbl 727.11038  •  Erdös, Paul; Nicolas, J.L.; Sárközy, A. , On the number of partitions of n without a given subsum. II. ,
Analytic number theory, Proc. Conf. in Honor of Paul T. Bateman, Urbana/IL (USA) 1989, Prog. Math. 85, 205-234 (1990). [Reviewer: B.Garrison (San Diego)] , 11P81 05A17
Zbl 731.11008  •  Erdös, Paul; Freud, R. , On sums of a Sidon-sequence. ,
J. Number Theory 38, No.2, 196-205 (1991). [Reviewer: E.Härtter (Mainz)] , 11B13 11B83
Zbl 742.11008  •  Erdös, Paul; Nicolas, J.-L.; Sárközy, A. , Sommes de sous-ensembles. (Subset sums.) ,
Sémin. Théor. Nombres Bordx., Sér. II 3, No.1, 55-72 (1991). [Reviewer: B.Volkmann (Stuttgart)] , 11B13
Zbl 758.11007  •  Erdös, Paul; Sárközy, A. , Arithmetic progressions in subset sums. ,
Discrete Math. 102, No.3, 249-264 (1992). [Reviewer: M.Nair (Glasgow)] , 11B25
Zbl 776.11011  •  Erdös, Paul; Sárközy, A. , On sets of coprime integers in intervals. ,
Hardy-Ramanujan J. 16, 1-20 (1993). [Reviewer: M.Nair (Glasgow)] , 11B83
Zbl 776.11013  •  Erdös, Paul; Zhang, Zhenxiang , Upper bound of sum 1/(ai log ai) for primitive sequences. ,
Proc. Am. Math. Soc. 117, No.4, 891-895 (1993). [Reviewer: M.Nair (Glasgow)] , 11B83
Zbl 781.11008  •  Erdös, Paul; Lacampagne, C.B.; Selfridge, J.L. , Estimates of the least prime factor of a binomial coefficient. ,
Math. Comput. 61, No.203, 215-224 (1993). , 11B65 11N37
Zbl 781.11011  •  Erdös, Paul; Zhang, Zhenxiang , Upper bound of sum 1/(ai log ai) for quasi-primitive sequences. ,
Comput. Math. Appl. 26, No.3, 1-5 (1993). [Reviewer: M.Nair (Glasgow)] , 11B83
Zbl 789.11007  •  Bollobás, Béla; Erdös, Paul; Jin, Guoping , Ramsey problems in additive number theory. ,
Acta Arith. 64, No.4, 341-355 (1993). [Reviewer: B.Volkmann (Stuttgart)] , 11B13 05D05
Zbl 790.11015  •  Erdös, Paul , Some problems and results on combinatorial number theory. ,
Capobianco, Michael F. (ed.) et al., Graph theory and its applications: East and West. Proceedings of the first China-USA international conference, held in Jinan, China, June 9-20, 1986. New York: New York Academy of Sciences, Ann. N. Y. Acad. Sci. 576, 132-145 (1989). , 11B75 11-02 00A07
Zbl 797.05001  •  Erdös, Paul , Some of may favourite problems in various branches of combinatorics. ,
Matematiche 47, No.2, 231-240 (1992). [Reviewer: L.Lesniak Foster (Madison)] , 05-02 00A07 11B75
Zbl 799.11044  •  Erdös, Paul; Nicolas, J.-L.; Sárközy, A. , On the number of pairs of partitions of n without common subsums. ,
Colloq. Math. 63, No.1, 61-83 (1992). [Reviewer: M.Szalay (Budapest)] , 11P82 05A17
Zbl 811.11014  •  Erdös, Paul; Sárközy, A.; Sós, T. , On sum sets of Sidon sets. I. ,
J. Number Theory 47, No.3, 329-347 (1994). [Reviewer: J.Zöllner (Mainz)] , 11B13
Zbl 815.11002  •  Erdös, Paul , Some problems in number theory, combinatorics and combinatorial geometry. ,
Math. Pannonica 5, No.2, 261-269 (1994). [Reviewer: E.Härtter (Mainz)] , 11-02 00A07 11B13 05Cxx 52C10 11Pxx
Zbl 818.11009  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , On additive properties of general sequences. ,
Discrete Math. 136, No.1-3, 75-99 (1994). [Reviewer: J.Zöllner (Mainz)] , 11B13 11B34 05B10 11B75 11B83
Zbl 828.11006  •  Erdös, Paul; Nathanson, Melvyn B.; Tetali, Prasad , Independence of solution sets and minimal asymptotic bases. ,
Acta Arith. 69, No.3, 243-258 (1995). [Reviewer: E.Härtter (Mainz)] , 11B13
Zbl 838.11018  •  Alon, Noga; Erdös, Paul , Sure monochromatic subset sums. ,
Acta Arith. 74, No.3, 269-272 (1996). [Reviewer: N.Alon (Tel Aviv)] , 11B75 11N36
Zbl 840.11010  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , On the product representation of powers. I. ,
Eur. J. Comb. 16, No.6, 567-588 (1995). [Reviewer: M.Helm (Stuttgart)] , 11B83
Zbl 841.11006  •  Erdös, Paul; Sárközy, A.; Sós, V.T. , On sum sets of Sidon sets. II. ,
Isr. J. Math. 90, No.1-3, 221-233 (1995). [Reviewer: J.Zöllner (Mainz)] , 11B13 11B25
Zbl 841.11048  •  Erdös, Paul; Sárközy, A.; Stewart, C.L. , On prime factors of subset sums. ,
J. Lond. Math. Soc., II. Ser. 49, No.2, 209-218 (1994). [Reviewer: R.J.Stroeker (Rotterdam)] , 11N35 11N25 11B83
Zbl 842.11035  •  Erdös, Paul; Nicolas, J.L. , On practical partitions. ,
Collect. Math. 46, No.1-2, 57-76 (1995). [Reviewer: J.L.Nicolas (Villeurbanne)] , 11P81 11B83
Zbl 849.11024  •  Erdös, Paul , Some of my recent problems in combinatorial number theory, geometry and combinatorics. ,
Alavi, Y. (ed.) et al., Graph theory, combinatorics, algorithms and applications. Vol. 1. Proceedings of the seventh quadrennial international conference on the theory and applications of graphs, Kalamazoo, MI, USA, June 1-5, 1992. New York, NY: Wiley, 335-349 (1995). [Reviewer: N.Hegyvari (Budapest)] , 11B75 52C10 00A07 05C99 05-02 11-02 52-02 05A99
Zbl 862.11007  •  Spencer, Joel; Erdös, Paul , A problem in covering progressions. ,
Stud. Sci. Math. Hung. 30, No.1-2, 149-154 (1995). [Reviewer: S.Porubský (Praha)] , 11B05 11B25
Zbl 863.11014  •  Burr, Stefan A.; Erdös, Paul; Graham, Ronald L.; Li, W.Wen-Ching , Complete sequences of sets of integer powers. ,
Acta Arith. 77, No.2, 133-138 (1996). [Reviewer: S.A.Burr (New York)] , 11B83 11B13
Zbl 866.11017  •  Erdös, Paul; Lewin, Mordechai , d-complete sequences of integers. ,
Math. Comput. 65, No.214, 837-840 (1996). [Reviewer: N.Hegyvari (Budapest)] , 11B75 11B83
Zbl 866.11019  •  Calkin, Neil J.; Erdös, Paul , On a class of aperiodic sum-free sets. ,
Math. Proc. Camb. Philos. Soc. 120, No.1, 1-5 (1996). [Reviewer: N.Hegyvari (Budapest)] , 11B83
Zbl 970.34318 DE010392989  •  Erdös, Paul; Rosenfeld, Moshe , The factor-difference set of integers. ,
Acta Arith. 79, No.4, 353-359 (1997). , 11B75 11A51
Zbl 980.10616 DE011180720  •  Erdös, Paul; Sarkozy, Gabor N. , On cycles in the coprime graph of integers. ,
Electron. J. Comb. 4, No.2, Research paper R8, 11 p. (1997). , 11B75 05C38
Zbl 980.25144 DE011564540  •  Agoh, Takashi; Erdös, Paul; Granville, Andrew , Primes at a (somewhat lengthy) glance. ,
Am. Math. Mon. 104, No.10, 943-945 (1997). , 11P32

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