Automorphic functions and number theory
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Bibliographic Information
Automorphic functions and number theory
（Lecture notes in mathematics, 54）
Springer-Verlag, 1968
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Bibliography: p. 65-69
Description and Table of Contents
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.
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