Automorphic Functions and Number Theory. 1st ed. 1968

種類:

電子ブック

責任表示:

by Goro Shimura

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1968

著者名:

• Shimura, Goro.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 54

ISBN:

9783540358329 [3540358323]    

注記:

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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