VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.
Sieve Methods and Applications
Last Updated: 2026-02-05 15:29:50
Abstract
The course will describe first a general framework for sieve, then discuss the classical applications to problems such as the Twin Prime Conjecture, and conclude with surveys of more unusual applications involving in particular general forms of the large sieve.
Content
Sieve methods have been developed to study the distribution of prime numbers, and they are among the few general techniques available for this purpose. However, the principles behind the sieve are useful in much more general context than for prime numbers. The course will describe first a general framework for sieve, then discuss the classical applications to problems such as the Twin Prime Conjecture, and conclude with surveys of more unusual applications involving in particular general forms of the large sieve. Among these, we may discuss the work of W. Duke on torsion fields of elliptic curves, recent works on sieve in discrete groups (involving random walks and harmonic analysis on such groups), and sieve involving Frobenius conjugacy classes.
General Information
- Language
- English
- Levels
- BSC , DR , MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Sieve Methods and Applications |
|
2 h weekly |
Offered In
-
-
Department of Mathematics (Official website of the Zurich Graduate School in Mathematics:)
-
-
-
-
-