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Article ID: CBB001214199

The Concept of “Character” in Dirichlet's Theorem on Primes in an Arithmetic Progression (2014)

Avigad, Jeremy (Author)
Morris, Rebecca (Author)

Archive for History of Exact Sciences
Volume: 68, no. 3
Issue: 3
Pages: 265-326

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Prime numbers Arithmetic Mathematics 19th century Dirichlet, Johann Peter Gustav Lejeune

In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet's proof in the nineteenth and early twentieth centuries, with an eye toward understanding some of the pragmatic pressures that shaped the evolution of modern mathematical method.

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