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.