The concept of “character” in Dirichlet’s theorem on primes in an arithmetic progression

Content Provider	Semantic Scholar
Author	Avigad, Jeremy Morris, Rebecca
Copyright Year	2012
Abstract	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.
Starting Page	265
Ending Page	326
Page Count	62
File Format	PDF HTM / HTML
DOI	10.1007/s00407-013-0126-0
Volume Number	68
Alternate Webpage(s)	http://www.andrew.cmu.edu/user/avigad/Talks/munich_dirichlet.pdf
Alternate Webpage(s)	http://www.contrib.andrew.cmu.edu/~avigad/Talks/brussels_dirichlet.pdf
Alternate Webpage(s)	http://www.contrib.andrew.cmu.edu/~avigad/Talks/munich_dirichlet.pdf
Alternate Webpage(s)	https://arxiv.org/pdf/1209.3657v3.pdf
Alternate Webpage(s)	http://repository.cmu.edu/cgi/viewcontent.cgi?article=1608&context=philosophy
Alternate Webpage(s)	https://doi.org/10.1007/s00407-013-0126-0
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article