Generalizations of Thomae's Formula for Zn Curves (Developments in Mathematics, #21)

by Hershel M. Farkas and Shaul Zemel

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Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results demonstrating how they can be derived directly from the basic properties of theta functions as functions on compact Riemann surfaces.

"Generalizations of Thomae's Formula for Zn Curves" includes several refocused proofs developed in a generalized context that is more accessible to researchers in related mathematical fields such as algebraic geometry, complex analysis, and number theory.

This book is intended for mathematicians with an interest in complex analysis, algebraic geometry or number theory as well as physicists studying conformal field theory.

  • ISBN13 9781461427582
  • Publish Date 27 December 2012 (first published 24 November 2010)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition 2011 ed.
  • Format Paperback
  • Pages 354
  • Language English