Automorphic Functions and Number Theory

von Goro Shimura

76 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540042242
• Sprache: Englisch
• Erscheinungsdatum: 01.01.1968
• Größe: 235 x 155 mm
• Verlag: Springer