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Topics in Complex Function Theory, Volume 3 Carl Ludwig Siegel (University of Goettingen, West Germany)

Topics in Complex Function Theory, Volume 3 By Carl Ludwig Siegel (University of Goettingen, West Germany)

Topics in Complex Function Theory, Volume 3 by Carl Ludwig Siegel (University of Goettingen, West Germany)

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Summary

Part of a multi-volume work which offers a complete reference guide to complex functions, this book is a member of the Wiley Classics Library series. This series consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields.

Topics in Complex Function Theory, Volume 3 Summary

Topics in Complex Function Theory, Volume 3: Abelian Functions and Modular Functions of Several Variables by Carl Ludwig Siegel (University of Goettingen, West Germany)

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.

About Carl Ludwig Siegel (University of Goettingen, West Germany)

Carl Ludwig Siegel was born on December 31, 1896 in Berlin. He studied mathematics and astronomy in Berlin and Gttingen and held chairs at the Universities of Frankfurt and Gttingen before moving to the Institute for Advanced Study in Princeton in 1940. He returned to Gttingen in 1951 and died there in 1981.
Siegel was one of the leading mathematicians of the twentieth century, whose work, noted for its depth as well as breadth, ranged over many different fields such as number theory from the analytic, algebraic and geometrical points of view, automorphic functions of several complex variables, symplectic geometry, celestial mechanics.

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.

Additional information

NLS9780471504016
9780471504016
0471504017
Topics in Complex Function Theory, Volume 3: Abelian Functions and Modular Functions of Several Variables by Carl Ludwig Siegel (University of Goettingen, West Germany)
Carl Ludwig Siegel (University of Goettingen, West Germany)
Wiley Classics Library
New
Paperback
John Wiley & Sons Inc
1989-04-19
256
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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