VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.
The distribution of prime numbers
The Distribution of Prime Numbers
Last Updated: 2026-06-01 11:33:48
Abstract
This course is a continuing course in number theory, focusing on analytic methods for answering questions about prime numbers.
Objective
The aim of the course is to cover topics in analytic number theory including sieve theory, the Hardy--Littlewood circle method, and the large sieve.
Content
Random models for prime numbers; sieve theory, including Selberg's sieve and applications to twin primes; the circle method; the large sieve and bilinear methods. Possibly covering Bombieri--Vinogradov and primes in arithmetic progressions, bounded gaps between primes.
Resources
Lecture Notes
The lecture's notes will be scanned or typed and available.
Literature
Koukoulopolous, "The Distribution of Prime Numbers" Davenport, "Multiplicative Number Theory"
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- session examination
- Mode
- written 90 minutes
- Aids
- None
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | The Distribution of Prime Numbers |
|
4 h weekly |
Offered In
-
-
-
-
Wahlfächer (Für das Master-Diplom in Angewandter Mathematik ist die folgende Zusatzbedingung (nicht in myStudies ersichtlich) zu beachten: Mindestens 14 KP der erforderlichen 26 KP aus Kern- und Wahlfächern müssen aus Bereichen der angewandten Mathematik und weiteren anwendungsorientierten Gebieten stammen.)
-
-