By Toyokazu Hiramatsu,Seiken Saito
Read or Download An Introduction to Non-Abelian Class Field Theory:Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations: 13 (Series on Number Theory and Its Applications) PDF
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This quantity includes the complaints of the very profitable moment China-Japan Seminar held in lizuka, Fukuoka, Japan, in the course of March 12-16, 2001 lower than the aid of the Japan Society for the merchandising of technological know-how (JSPS) and the nationwide technology beginning of China (NSFC), and a few invited papers of eminent number-theorists who visited Japan in the course of 1999-2001 on the get together of the convention on the examine Institute of Mathematical Sciences (RIMS), Kyoto college.
Modular kinds are vastly vital in a number of components of arithmetic, from quantity idea and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a regular instance, have deep mathematics importance. ahead of this booklet, the quickest identified algorithms for computing those Fourier coefficients took exponential time, other than in a few certain situations.
The invited papers gathered during this quantity tackle themes with regards to the study of Raman Parimala (plenary speaker on the upcoming ICM 2010). those subject matters concentration totally on the interaction among algebra, quantity concept, and algebraic geometry. The integrated contributions conceal interesting study in parts similar to box patching and an evidence of the Serre's Conjecture II for functionality fields of advanced surfaces.
Development bridges among classical effects and modern nonstandard difficulties, this hugely proper paintings embraces vital subject matters in research and algebra from a problem-solving viewpoint. The e-book is dependent to help the reader in formulating and proving conjectures, in addition to devising ideas to big mathematical difficulties via making connections among a variety of innovations and concepts from diverse components of arithmetic.
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