When is the Bloch-Okounkov q-bracket modular?
Number Theory
2020-11-10 v2 Algebraic Geometry
Abstract
We obtain a condition describing when the quasimodular forms given by the Bloch-Okounkov theorem as -brackets of certain functions on partitions are actually modular. This condition involves the kernel of an operator {\Delta}. We describe an explicit basis for this kernel, which is very similar to the space of classical harmonic polynomials.
Keywords
Cite
@article{arxiv.1810.06987,
title = {When is the Bloch-Okounkov q-bracket modular?},
author = {Jan-Willem M. van Ittersum},
journal= {arXiv preprint arXiv:1810.06987},
year = {2020}
}
Comments
12 pages; corrected typos