English

Integral representation of Weil's elliptic functions

Classical Analysis and ODEs 2015-08-12 v3 Number Theory

Abstract

In this paper, we give a two dimensional analogue of the Euler-MacLaurin summation formula. By using this formula, we obtain an integral representation of Weil's elliptic functions which was introduced in the book "Elliptic functions according to Eisenstein and Kronecker".

Keywords

Cite

@article{arxiv.1508.00648,
  title  = {Integral representation of Weil's elliptic functions},
  author = {Su Hu and Min-Soo Kim},
  journal= {arXiv preprint arXiv:1508.00648},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T10:25:40.573Z