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There are infinitely many prime numbers in all arithmetic progressions with first term and difference coprime

Authors
  • Dirichlet, Peter Gustav Lejeune
Type
Preprint
Publication Date
Nov 24, 2014
Submission Date
Aug 10, 2008
Identifiers
arXiv ID: 0808.1408
Source
arXiv
License
Unknown
External links

Abstract

Dirichlet's proof of infinitely many primes in arithmetic progressions was published in 1837, introduced L-series for the first time, and it is said to have started rigorous analytic number theory. Dirichlet uses Euler's earlier work on the zeta function and the distribution of primes. He first proves a simpler case before going to full generality. The paper was translated from German by R. Stephan and given a reference section.

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