Department of Mathematics

Prime Numbers II

Please note that this page is old.
Check in the VVZ for a current information.
Professor Prof. Dr. Emmanuel Kowalski
Lecture Monday  13-15,  HG G 26.5
Coordinators Benny Löffel /

Jakob Ditchen

Exercise classes
Thursday  14-15,  HG G 26.5

First lecture: Monday, 18/02/2012.

Course Description

This course will study some of the methods available for the study of the distribution of primes, with a focus on primes in interesting sequences and on different types of sums over primes. This will include an introduction to sieve methods and to Vinogradov's method of bilinear forms, and a survey of recent results, for instance of the results of Green and Tao on linear equations in primes.

The goal of the course is to obtain a familiarity with the basic ideas of sieve theory, and their applications, as well as the methods involving bilinear form estimates for estimating sums over primes.

The basic outline will be the following:
* Reminders concerning the distribution of primes in arithmetic progressions
* Sieve methods: Selberg sieve, large sieve, combinatorial sieve
* Applications of sieve methods
* Sums over primes: Vinogradov's approach
* The ternary Goldbach problem and other applications
* Survey of more recent results

Exercises and Solutions

Due date
Sample Solutions
Exercise Sheet 1
  Solutions 1

Requirements for the certificate ("Testat"): TBA

Please report any mistakes that you spot in the exercises / solutions.



Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2016 Mathematics Department | Imprint | Disclaimer | 5 February 2013