Abelian functions and modular functions of several variables

Author(s)

Bibliographic Information

Abelian functions and modular functions of several variables

C.L. Siegel ; translated from the original German by E. Gottschling and M. Tretkoff

(Wiley classics library, . Topics in complex function theory / by C.L. Siegel ; v. 3)

Wiley-Interscience, 1989, c1973

Wiley classics ed

  • : pbk

Available at  / 34 libraries

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Note

Bibliography: p. 193-240

Includes index

First published 1973

Description and Table of Contents

Description

Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.

Table of Contents

ABELIAN FUNCTIONS. Power Series in Several Variables. The Preparation Theorem. Regular Functions. Meromorphic Functions. The Theorem of Weierstrass and Cousin. The Period Group. Jacobian Functions. Linearization of the Exponent System. The Period Relations. The Reduced Exponent System. Existence Proofs. Picard Varieties. The Addition Theorem. MODULAR FUNCTIONS OF SEVERAL VARIABLES. Automorphic Functions of Several Variables. Algebraic Relations Between Automorphic Functions. Symplectic Geometry. Abelian Functions and Modular Functions. The Fundamental Region of the Modular Group. Modular Forms. The Field of Modular Functions. Algebraic Dependence. Bibliography. Cumulative Index Volumes I, II, and III.

by "Nielsen BookData"

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Details

  • NCID
    BA07483653
  • ISBN
    • 0471790907
    • 0471504017
  • LCCN
    69019931
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    ger
  • Place of Publication
    New York
  • Pages/Volumes
    ix, 244 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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