Generalizations of Thomae's Formula for Zn Curves (eBook, PDF)

Generalizations of Thomae's Formula for Zn Curves (eBook, PDF)

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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 surfac...

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