%0 Journal Article
%T Transcendental Trace Formulas For Finite-Gap Potentials
%A Yu. V. Brezhnev
%J Physics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1201.2826v1