English

Analogues of Jacobi's derivative formula III

Classical Analysis and ODEs 2017-04-03 v2

Abstract

In this paper, we realize high-level versions of Jacobi's derivative formula to all the rational characteristics corresponding to level k(k=3,4,5,6).k \,\,(k=3,4,5,6). For this purpose, we propose the method to obtain derivative formulas by means of the residue theorem. We believe that this method can be also applied to all the rational characteristics corresponding to level k7.k\ge 7.

Keywords

Cite

@article{arxiv.1606.07753,
  title  = {Analogues of Jacobi's derivative formula III},
  author = {Kazuhide Matsuda},
  journal= {arXiv preprint arXiv:1606.07753},
  year   = {2017}
}