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

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        Mostrar referencias similares Springer eBooks. Mathematics and Statistics        Mostrar referencias similares 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. Mathematics.        Mostrar referencias similares Algebraic Geometry.        Mostrar referencias similares Functions of a Complex Variable.        Mostrar referencias similares Several Complex Variables and Analytic Spaces.        Mostrar referencias similares Special Functions.        Mostrar referencias similares Number Theory.        Mostrar referencias similares 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

Enlace permanente