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Lecturer | Prof. Dr. Özlem. Imamoglu | Lectures | Wed 10-12, HG F 26.5 |
Coordinator |
Subhajit Jana |
Start of lectures: 24/02/2016
The influence of the work of Ramanujan in the development of modern number theory is widely acknowledged. In this course we will explore the parts of his work that enjoyed some recent interest such as his mock theta functions as well as some of his work that is less studied. Possible topics are, Hardy_Ramanijan circle method, modular forms and differential equations, Ramanujan congruences for the partition function, Ramanujan-Petersson conjecture.
There will be a crash course on Modular forms on 2nd March. Talks are scheduled as follows:
Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 Group 7 Group 8 Group 9 |
16/03 23/03 06/04 13/04 20/04 27/04 04/05 11/05 18/05 |
Ramanujan tau function Differential equations satisfied by modular forms Partition function and its congruences Ford circles and Farey sequence Circle Method Ramanujan-Petersson conjecture Mock theta function I Mock theta function II Continued fractions |
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