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  When is the Bloch-Okounkov q-bracket modular?

van Ittersum, J.-W.-M. (2020). When is the Bloch-Okounkov q-bracket modular? Ramanujan Journal, 52(3), 669-682. doi:10.1007/s11139-019-00144-1.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-9EF5-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-D683-4
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van Ittersum, Jan-Willem M.1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, Algebraic Geometry
 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 {\Delta}.
We describe an explicit basis for this kernel, which is very similar to the space of classical harmonic polynomials.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 14
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 Rev. Type: Peer
 Identifiers: arXiv: 1810.06987
URI: http://arxiv.org/abs/1810.06987
DOI: 10.1007/s11139-019-00144-1
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Title: Ramanujan Journal
  Abbreviation : Ramanujan J.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 52 (3) Sequence Number: - Start / End Page: 669 - 682 Identifier: -