Analogues of Jacobi's derivative formula
Number Theory
2014-11-14 v1
Abstract
In this paper, we obtain analogues of Jacobi's derivative formula in terms of the theta constants with rational characteristics. For this purpose, we use the arithmetic formulas of the number of representations of a natural number as the sum of two squares, or the sum of a square and twice a square.
Keywords
Cite
@article{arxiv.1411.3361,
title = {Analogues of Jacobi's derivative formula},
author = {Kazuhide Matsuda},
journal= {arXiv preprint arXiv:1411.3361},
year = {2014}
}