Generalizations of Thomae's Formula for Zn Curves

• Κύριοι συγγραφείς: Farkas, Hershel M. (Συγγραφέας), Zemel, Shaul (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Σειρά: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 21
• Θέματα: 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.,...

Πίνακας περιεχομένων:

• - 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.