Partition Eisenstein series and semi-modular forms

Abstract

We identify a class of "semi-modular" forms invariant on special subgroups of $G{L}_2(\mathbb{Z})$, 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.

8 pages, 2 figures, published in Research in Number Theory (2021)

References in corpus (1)

• A symmetric Bloch-Okounkov theorem

Cited by in corpus (1)

• Semi-modular forms from Fibonacci-Eisenstein series