Transcendental Trace Formulas For Finite-Gap Potentials
Exactly Solvable and Integrable Systems
2012-01-16 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1201.2826,
title = {Transcendental Trace Formulas For Finite-Gap Potentials},
author = {Yu. V. Brezhnev},
journal= {arXiv preprint arXiv:1201.2826},
year = {2012}
}
Comments
Final version; 9 pages, LaTeX