Transcendental trace formulas for finite-gap potentials |
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Authors: | Yu. V. Brezhnev |
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Affiliation: | 1.Tomsk State University,Tomsk,Russia |
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Abstract: | We show that formulas differing from classical analogues of rational trace formulas for algebraic-geometric potentials occur in the theory of finite-gap integration of spectral equations. The new formulas contain transcendental modular functions and hypergeometric series. They result in transcendental relations for theta functions. |
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