Date of Original Version

6-28-2013

Type

Article

Rights Management

The final publication is available at Springer via http://dx.doi.org/10.1007/s00407-013-0126-0

Abstract or Description

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 ofDirichlet 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.

DOI

10.1007/s00407-013-0126-0

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Published In

Archive for History of Exact Sciences, 68, 3, 265-326.