Automorphic functions an abelian integrals

Author(s)

• Siegel, Carl Ludwig

Bibliographic Information

Automorphic functions an abelian integrals

by C. L. Siegel ; translated from the original German by A. Shenitzer and M. Tretkoff

（Interscience tracts in pure and applied mathematics, 25 . Wiley classics library . Topics in complex function theory / by C.L. Siegel ; v. 2）

Wiley-Interscience, c1988

• : hbk
• : pbk

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

AUTOMORPHIC FUNCTIONS. Fractional Linear Transformations. Noneuclidean Geometry. Discontinuous Groups. Polygon Groups. Poincar 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

by "Nielsen BookData"

Details

• NCID: BA06665804
• ISBN:
  • 047179080X
  • 0471608432
• 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, 193 p.
• Size: 23 cm
• Classification:
  • LCC : QA331
  • DC : 515/.9
• Subject Headings:
  • LCSH : Functions of complex variables
• Parent Bibliography ID:
  • BA00023371