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arXiv · 2103.06239

Partition Eisenstein series and semi-modular forms

Matthew Just·Robert Schneider
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Abstract

We identify a class of "semi-modular" forms invariant on special subgroups of $GL_2(\mathbb Z)$, 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.

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Matthew Just, Robert Schneider. 2021-03-08. Partition Eisenstein series and semi-modular forms. https://doi.org/10.1007/s40993-021-00286-6

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