Transcendental Trace Formulas For Finite-Gap Potentials

Theor. Math. Phys. v.164(1) (2010), 920--928 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 hyper...

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1. Verfasser:	Brezhnev, Yu. V
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs Physics - Exactly Solvable and Integrable Systems
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Zusammenfassung:	Theor. Math. Phys. v.164(1) (2010), 920--928 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.
DOI:	10.48550/arxiv.1201.2826