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In mathematics, the Artin–Hasse exponential, introduced by Artin and Hasse (1928), is the power series given by E p ( x ) = exp ⁡ ( x + x p p + x p 2 p...

Number Theory" (PDF). pp. 33–35. Samuel 1972, p. 43. Samuel 1972, p. 35. Artin, Michael (2011). Algebra. Prentice Hall. p. 360. ISBN 978-0-13-241377-0...

is today called Artin–Schreier theory because the first progress was made by Artin and Schreier. Their initial motivation was the Artin–Schreier theorem...

of a Coxeter group. Hecke algebras are quotients of the group rings of Artin braid groups. This connection found a spectacular application in Vaughan...

Herbrand-Ribet theorem, and to class numbers of real quadratic fields by Ankeny–Artin–Chowla. The Bernoulli numbers are related to Fermat's Last Theorem (FLT)...

numbers and the p-adic numbers have characteristic 0, while the finite field Zp with p being prime has characteristic p. Subfield A subfield of a field F...

Zp there is a unique endomorphism f of the Lubin–Tate formal group law such that f(x) = ax + higher-degree terms. This gives an action of the ring Zp...

Cathleen Synge Morawetz 2003 Ronald Graham, Victor Guillemin 2002 Michael Artin, Elias Stein 2001 Harry Kesten 2000 Isadore M. Singer 1999 Richard V. Kadison...

unity. For more general number fields, class field theory, specifically the Artin reciprocity law gives an answer by describing Gab in terms of the idele...

Seen in Arrests of Iranian Journalists and Bloggers| By RICK GLADSTONE and ARTIN AFKHAMI | nytimes.com| January 25, 2012 'Murder': Some Accountability in...