English

A multiparameter summation formula for Riemann theta functions

Classical Analysis and ODEs 2011-02-15 v2 Algebraic Geometry

Abstract

We generalize Warnaar's elliptic extension of a Macdonald multiparameter summation formula to Riemann surfaces of arbitrary genus.

Keywords

Cite

@article{arxiv.math/0408366,
  title  = {A multiparameter summation formula for Riemann theta functions},
  author = {V. P. Spiridonov},
  journal= {arXiv preprint arXiv:math/0408366},
  year   = {2011}
}

Comments

8 pages; added comments on the balancing condition, to appear in Proc. of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003)