STNB2025 (38th edition)
Review of Dirichlet's theorem on primes in arithmetic progressions
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Abstract
The goal of this first lecture is to briefly review, on the one hand, the main steps in the proof of the classical Dirichlet's theorem on primes in arithmetic progressions, and, on the other hand, a serious and less known attempt done by Murty \cite{Murtyprogressions} to prove this theorem just generalizing in a suitable form Euclid's argument of the infinitude of prime numbers
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