Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA333.SPR FCT 81224 (Browse shelf) | 1 | Available |
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QA331.7.SPR FCT 97494 Hyponormal quantization of planar domains | QA331.7.WEG FCT 96005 Visual complex functions | QA333.SPR FCT 81029 Geometry and spectra of compact Riemann surfaces | QA333.SPR FCT 81224 Generalizations of Thomae's formula for Zn curves | QA333.SPR FCT 82439 Symmetries of compact Riemann surfaces | QA333.SPR FCT 82478 Computational approach to Riemann surfaces | QA341.SPR FCT 82169 Algebraic function fields and codes |
Colocação: Online
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 surfaces, algebraic curves, and theta functions, while young researchers, whose interests are related to complex analysis, algebraic geometry, and number theory, will find new rich areas to explore. Mathematical physicists and physicists with interests also in conformal field theory will surely appreciate the beauty of this subject.
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