Abelian functions and modular functions of several variables
Author(s)
Bibliographic Information
Abelian functions and modular functions of several variables
（Wiley classics library, . Topics in complex function theory / by C.L. Siegel ; v. 3）
Wiley-Interscience, 1989, c1973
Wiley classics ed
- : pbk
Related Bibliography 10 items
Available at 34 libraries
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"