<p>We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell–Lerch sums, and false theta functions.</p>

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Quasi-Jacobi forms, Appell–Lerch functions, and false theta functions as q-brackets of functions on partitions

  • Kathrin Bringmann,
  • Jonas Kaszian,
  • Jan-Willem van Ittersum

摘要

We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell–Lerch sums, and false theta functions.