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Cubierta del libro
Autor Farkas, Hershel M. author.

Título Generalizations of Thomae's Formula for Zn Curves [electronic resource] / by Hershel M. Farkas, Shaul Zemel.

Publicación New York, NY : Springer New York, 2011.
Descripción física XVII, 354 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 1389-2177 ; 21
Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 1389-2177 ; 21
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Springer eBooks. Mathematics and Statistics
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Contiene: - Introduction.- 1. Riemann Surfaces -- 2. Zn Curves -- 3. Examples of Thomae Formulae -- 4. Thomae Formulae for Nonsingular Zn Curves -- 5. Thomae Formulae for Singular Zn Curves.-6. Some More Singular Zn Curves.-Appendix A. Constructions and Generalizations for the Nonsingular and Singular Cases.-Appendix B. The Construction and Basepoint Change Formulae for the Symmetric Equation Case.-References.-List of Symbols.-Index.
Resumen: This book provides a comprehensive overview of the theory of theta functions, as applied to compact Riemann surfaces, as well as the necessary background for understanding and proving the Thomae formulae. The exposition examines the properties of a particular class of compact Riemann surfaces, i.e., the Zn curves, and thereafter focuses on how to prove the Thomae formulae, which give a relation between the algebraic parameters of the Zn curve, and the theta constants associated with the Zn curve. Graduate students in mathematics will benefit from the classical material, connecting Riemann surfaces, algebraic curves, and theta functions, while young researchers, whose interests are related to complex analysis, algebraic geometry, and number theory, will find new rich areas to explore. Mathematical physicists and physicists with interests also in conformal field theory will surely appreciate the beauty of this subject.
Materia Mathematics.
Algebraic geometry.
Functions of complex variables.
Special functions.
Number theory.
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Algebraic Geometry.
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Functions of a Complex Variable.
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Several Complex Variables and Analytic Spaces.
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Special Functions.
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Number Theory.
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Autor secundario Zemel, Shaul., author.
SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9781441978462
ISBN 9781441978479 978-1-4419-7847-9
ISBN/ISSN 10.1007/978-1-4419-7847-9 doi