Article ID: CBB001214199

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

unapi

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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Citation URI
https://data.isiscb.org/isis/citation/CBB001214199/

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Authors & Contributors
Boucard, Jenny
Morrison, Amie
Enea, Maria Rosaria
Haffner, Emmylou
Xing, Ying-rui
Weiner, Joan
Concepts
Mathematics
Arithmetic
Number theory; number concept
Algebra
Prime numbers
Logic
Time Periods
19th century
18th century
17th century
20th century, early
Enlightenment
20th century
Places
Scotland
Poland
Japan
Greece
Germany
France
Institutions
University of Chicago
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