Topics in complex function theory

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Topics in complex function theory / by C. L. Siegel ; translated from the original German by A. Shenitzer ... [et al.]

資料種別:: 図書
出版情報:: New York : Wiley-Interscience, c1969-01973
形態:: 3 v. ; 23 cm
シリーズ名:: Interscience tracts in pure and applied mathematics ; 25 <BA00023371>
著者名:: Siegel, Carl Ludwig, 1896-1981 <DA00172720>
ISBN:: 9780471790709 [0471790702] (v. 1)
9780471608448 [0471608440] (v. 1(pbk))
9780471790808 [047179080X] (v. 2)
9780471608431 [0471608432] (v. 2(pbk))
9780471790907 [0471790907] (v. 3)
9780471504016 [0471504017] (v. 3(pbk))
書誌ID:: BA00099260

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主題:

Functions of complex variables

言語:

英語

目次情報:

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

Automorphic Functions

Fractional Linear Transformations

Noneuclidean Geometry

Discontinuous Groups

Polygon Groups

Poincarebreve

Series

The Field of Automorphic Functions

Automorphic and Algebraic Functions

Algebraic Curves of Genus 0 and 1

Canonical Polygons

Abelian Integrals

Reduction

Existence

The Period Matrix

The Modular Group

Canonical Transformation

The Theorem of Riemann and Roch

The Theorem of Abel

The Jacobi Inversion Problem

Theta Functions

The Zeros of the Theta Function

Theta Quotients

Jacobi-Abel Functions

Cumulative Index: Vols.I & II

Abelian Functions

Power Series in Several Variables

The Preparation Theorem

Regular Functions

Meromorphic Functions

The Theorem of Weierstrass and Cousin

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