Partition Eisenstein series and semi-modular forms
Number Theory
2021-12-02 v4 Combinatorics
Abstract
We identify a class of "semi-modular" forms invariant on special subgroups of , which includes classical modular forms together with complementary classes of functions that are also nice in a specific sense. We define an Eisenstein-like series summed over integer partitions, and use it to construct families of semi-modular forms.
Cite
@article{arxiv.2103.06239,
title = {Partition Eisenstein series and semi-modular forms},
author = {Matthew Just and Robert Schneider},
journal= {arXiv preprint arXiv:2103.06239},
year = {2021}
}
Comments
8 pages, 2 figures, published in Research in Number Theory (2021)