School of Mathematics Colloquium

Dirichlet's theorem on primes in arithmetic progressions.

by Prof. T N Venkataramana (TIFR)

Thursday, June 23, 2022 from to (Asia/Kolkata)
at 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.