Automorphic functions and number theory / Goro Shimura.

Author
Shimura, Gorō, 1930-2019 [Browse]
Format
Book
Language
English
Εdition
1st ed. 1968.
Published/​Created
  • Berlin, Heidelberg : Springer, [1968]
  • ©1968
Description
1 online resource (VIII, 72 p.)

Details

Subject(s)
Series
  • Lecture notes in mathematics (Berlin) ; Volume 54. [More in this series]
  • Lecture Notes in Mathematics ; Volume 54
Notes
Bibliographic Level Mode of Issuance: Monograph
Source of description
Description based on print version record.
Language note
English
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.
ISBN
3-540-35832-3
OCLC
  • 1066198752
  • 793077852
Doi
  • 10.1007/BFb0071097
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