Avigad, Jeremy (Author)
Morris, Rebecca (Author)
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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Book
Rockmore, Daniel Nahum;
(2005)
Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers
(/isis/citation/CBB000550401/)
Book
Sabbagh, Karl;
(2002)
Dr. Riemann's Zeros: The Search for the $1 Million Solution to the Greatest Problem in Mathematics
(/isis/citation/CBB000358317/)
Article
Lambert, Kevin;
(2013)
A Natural History of Mathematics: George Peacock and the Making of English Algebra
(/isis/citation/CBB001320192/)
Book
Boniface, Jacqueline;
(2002)
Les constructions des nombres réels dans le mouvement d'arithmétisation de l'analyse
(/isis/citation/CBB000771381/)
Article
Boucard, Jenny;
(2013)
Cyclotomie et formes quadratiques dans l'œuvre arithmétique d'Augustin-Louis Cauchy (1829--1840)
(/isis/citation/CBB001211763/)
Article
Xing, Ying-rui;
(2011)
Husserl's Early Philosophy of Arithmetic
(/isis/citation/CBB001250699/)
Article
Boucard, Jenny;
(2013)
Cyclotomie et formes quadratiques dans l'œuvre arithmétique d'Augustin-Louis Cauchy (1829--1840)
(/isis/citation/CBB001253129/)
Book
Marchisotto, Elena;
Smith, James T.;
(2007)
The Legacy of Mario Pieri in Geometry and Arithmetic
(/isis/citation/CBB000831265/)
Book
Weiner, Joan;
(2004)
Frege Explained: From Arithmetic to Analytic Philosophy
(/isis/citation/CBB000772767/)
Article
Corry, Leo;
(2010)
Hunting Prime Numbers---From Human to Electronic Computers
(/isis/citation/CBB000933579/)
Article
Emmylou Haffner;
(2017)
Strategical Use(s) of Arithmetic in Richard Dedekind and Heinrich Weber's Theorie Der Algebraischen Funktionen Einer Veränderlichen
(/isis/citation/CBB438218611/)
Book
Gray, Jeremy;
Parshall, Karen Hunger;
(2007)
Episodes in the History of Modern Algebra (1800--1950)
(/isis/citation/CBB000774194/)
Article
Radu, Mircea;
(2003)
A Debate about the Axiomatization of Arithmetic: Otto Hölder against Robert Graßmann
(/isis/citation/CBB000340654/)
Article
Rusnock, Paul;
(2013)
On Bolzano's Concept of a Sum
(/isis/citation/CBB001212145/)
Article
Amie Morrison;
Isobel Falconer;
(2022)
Women’s participation in mathematics in Scotland, 1730–1850
(/isis/citation/CBB967889252/)
Article
Maslanka, K.;
(2004)
Pietro Mengoli and Numerical Series: The Prehistory of Riemann's “Zeta” Function
(/isis/citation/CBB000931602/)
Article
Luo, Jianjin;
(2003)
On the Development of the Formulae for Sums of Integers
(/isis/citation/CBB000774899/)
Article
Kastanis, Nikos;
(2007)
American Pestalozzianism in Greek Mathematical Education, 1830--1836
(/isis/citation/CBB000831567/)
Book
Wardhaugh, Benjamin;
(2012)
The History of the History of Mathematics: Case Studies for the Seventeenth, Eighteenth, and Nineteenth Centuries
(/isis/citation/CBB001251196/)
Article
Maria Rosaria Enea;
Giovanni Ferraro;
(2020)
Analytic and Arithmetic Methods in Liouville's Identities
(/isis/citation/CBB311764284/)
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