Emil Artin and Helmut Hasse: The Correspondence 1923-1958Günther Frei, Franz Lemmermeyer, Peter J. Roquette Springer Science & Business Media, 16 de gen. 2014 - 484 pàgines This volume consists of the English translations of the letters exchanged between Emil Artin to Helmut Hasse written from 1921 until 1958. The letters are accompanied by extensive comments explaining the mathematical background and giving the information needed for understanding these letters. Most letters deal with class field theory and shed a light on the birth of one of its most profound results: Artin's reciprocity law. |
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Emil Artin and Helmut Hasse: The Correspondence 1923-1958 Günther Frei,Franz Lemmermeyer,Peter J. Roquette Previsualització no disponible - 2014 |
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abelian extension algebraic number already appeared arbitrary Artin and Hasse Artin to Hasse Artin writes Artin’s letter Artin’s reciprocity law base field Chebotarev Chevalley class field theory class field tower class group class number Comments on Letter completely complex multiplication conductor congruences conjecture contains coprime correspondence Crelle’s Journal cyclotomic denote Eisenstein’s reciprocity law Emil Artin Emmy Noether equation fact factor systems finite Frobenius function fields Furtwängler Galois extensions Galois group Göttingen group theoretical Hasse’s Hasse’s article Hasse’s report Hecke Hensel Herbrand Hilbert class field Hilbert symbol ideal classes isomorphism Jacobi symbol L-series lectures Lemma Letter from Artin manuscript mathematical modulo norm residue symbol number theory p-adic power residues prime divisors prime ideals prime number principal ideal theorem problem proof proved ray class remark report on class roots of unity Scholz Schreier second supplementary law semester subfield subgroup Takagi’s unramified