Evaluating Theta Derivatives with Rational Characteristics
Complex Variables
2020-08-13 v2 Number Theory
Abstract
We evaluate 35 different theta derivatives with rational characteristics using the method of Matsuda, in which the logarithmic derivatives at of the triple product expansions of the associated theta functions become linear combinations of known theta series of weight 1.
Cite
@article{arxiv.1604.08195,
title = {Evaluating Theta Derivatives with Rational Characteristics},
author = {Shaul Zemel},
journal= {arXiv preprint arXiv:1604.08195},
year = {2020}
}
Comments
26 pages, extended and added references