Generalizations of Thomae's Formula for Zn Curves

• Main Authors: Farkas, Hershel M. (Author), Zemel, Shaul (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Series: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 21
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Special functions.; Number theory.; Algebraic Geometry.; Functions of a Complex Variable.; Several Complex Variables and Analytic Spaces.; Special Functions.; Number Theory.

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.,...