Providing the first comprehensive account of the widely unknown cooperation and friendship between Emmy Noether and Helmut Hasse, this book contains English translations of all available letters which were exchanged between them in the years 1925-193...Lasīt vairāk
This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras a...Lasīt vairāk
(Izdošanas datums: 01-Nov-2018, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781108421775)
This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number...Lasīt vairāk
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Lasīt vairāk
(Izdošanas datums: 30-Oct-2013, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821849903)
Arthur classifies the automorphic representations of special orthogonal and symplective groups in G in terms of those of GL(N). His main tool is the stable trace formula for G, which until recently was conditional on the fundamental lemma, which has...Lasīt vairāk
This comprehensive 2008 introduction for beginning graduate students contains articles by the leading experts in the field. It covers basic topics such as algorithmic aspects of number fields, elliptic curves, and lattice basis reduction and advanced...Lasīt vairāk
The conference was called to mark the 60th birthday of Freydoon Shahidi and his three decades of contribution to number theory, automorphic forms, harmonic analysis, and most particularly the Langlands-Shahidi method of addressing problems in these a...Lasīt vairāk
Bas Edixhoven, Jean-Marc Couveignes, Robin de Jong, Franz Merkl, Johan Bosman
Sērija : Annals of Mathematics Studies
(Izdošanas datums: 20-Jun-2011, Hardback, Izdevniecība: Princeton University Press, ISBN-13: 9780691142012)
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Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujans tau-function as a typical example, have deep arithmeti...Lasīt vairāk
Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujans tau-function as a typical example, have deep arithmetic s...Lasīt vairāk
(Izdošanas datums: 30-Jan-2009, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821844267)
Artin (1898-1962) and Tate presented a seminar on the theory at Princeton University in 1951-52, and assembled for publication their lecture notes on the parts dealing with global class field theory, and the abstract theory of class formations and Wi...Lasīt vairāk
Sērija : Mathematical Sciences Research Institute Publications
(Izdošanas datums: 20-Oct-2008, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9780521808545)
The advent of computers and especially sophisticated algorithms has gradually led to the emergence of algorithmic and number theory as a distinct field, after centuries of their submergence into other disciplines. Reflecting the wide used algorithmic...Lasīt vairāk
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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometr...Lasīt vairāk
(Izdošanas datums: 30-Dec-1995, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821804292)
A textbook for a one-year course that introduces algebraic number theory and the basic theory of class fields of algebraic number fields, divided to fit nicely into two semesters, or even two separate courses. The approach by congruence subgroups of...Lasīt vairāk
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A broad introduction to quadratic forms, modular functions, interpretation by rings and ideals, class fields by radicals and more. 1985 ed....Lasīt vairāk
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Provides summary of field theory that emphasizes refinements and extensions achieved in recent studies. It describes canonical fundamental units of certain classes of pure cubic fields, proves Knessers theorem on torsion groups of separable field ex...Lasīt vairāk
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 30-Aug-1985, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9780521247627)
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In this graduate level textbook, Professor Cohn takes a problem that Pythagoras could have posed, and using it as motivation, develops a constructional introduction to classical field theory and modular function theory. The interest in constructional...Lasīt vairāk
