Automorphic Functions and Number Theory

By:

Goro Shimura

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

Table of Contents

Automorphic functions on the upper half plane, especially modular functions.- Elliptic curves and the fundamental theorems of the classical theory of complex multiplication.- Relation between the points of finite order on an elliptic curve and the modular functions of higher level.- Abelian varieties and siegel modular functions.- The endomorphism-ring of an abelian variety; the field of moduli of an abelian variety with many complex multiplications.- The class-field-theoretical characterization of K' (?(z)).- A further method of constructing class fields.- The hasse zeta function of an algebraic curve.- Infinite galois extensions with l-adic representations.- Further generalization and concluding remarks.

Release date Australia

January 1st, 1968

Author

Goro Shimura

Audience

Professional & Vocational

Illustrations

VIII, 72 p.

Pages

Series

Lecture Notes in Mathematics

Dimensions

156x234x4

ISBN-13

9783540042242

Product ID

2804308

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