School of Mathematics Colloquium

Dirichlet's theorem on primes in arithmetic progressions.

by Prof. T N Venkataramana (TIFR)

Asia/Kolkata
Via Zoom

Via Zoom

Description
Abstract: Dirichlet proved that there are infinitely many primes in an arithmetic progression of positive integers with no common factor. The proof is a mixture of analysis and algebra, and will depend on analytic properties of "Dirichlet L-Functions". We will first look at several examples and then see how to extend the proof to the general case.