When is the Bloch–Okounkov q-bracket modular?
Publication date
2019-01-01
Authors
van Ittersum, Jan Willem M
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Article
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Abstract
We obtain a condition describing when the quasimodular forms given by the Bloch–Okounkov theorem as q-brackets of certain functions on partitions are actually modular. This condition involves the kernel of an operator Δ. We describe an explicit basis for this kernel, which is very similar to the space of classical harmonic polynomials.
Keywords
Harmonic polynomials, Modular forms, Partitions, Algebra and Number Theory
Citation
van Ittersum, J W M 2019, 'When is the Bloch–Okounkov q-bracket modular?', Ramanujan Journal, pp. 1-14. https://doi.org/10.1007/s11139-019-00144-1