1.

Record Nr.

UNISA996466604603316

Autore

Shimura Gorō <1930-2019, >

Titolo

Automorphic functions and number theory / / Goro Shimura

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer, , [1968]

©1968

ISBN

3-540-35832-3

Edizione

[1st ed. 1968.]

Descrizione fisica

1 online resource (VIII, 72 p.)

Collana

Lecture Notes in Mathematics ; ; Volume 54

Disciplina

512.7

Soggetti

Number theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.