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On the difference of partial theta functions

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Publication:2021642
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DOI10.1007/S40840-020-00961-4zbMath1467.33011arXiv0712.4087OpenAlexW3039173275MaRDI QIDQ2021642

Alexander Berkovich

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4087


zbMATH Keywords

quadratic transformationspartial theta functionslost notebookJacobi's triple producttransformation formula for well-poised \(_3\phi_2\)


Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)


Related Items (3)

On the Andrews-Warnaar identities for partial theta functions ⋮ An extension of the Andrews-Warnaar partial theta function identity ⋮ Fine’s function and partial theta function




Cites Work

  • Ramanujan's ``lost notebook. I: Partial Theta-functions
  • Some observations on Dyson's new symmetries of partitions
  • The product of partial theta functions
  • Partial Theta Functions. I. Beyond the Lost Notebook
  • Generalizations of Ramanujan's reciprocity theorem and their applications
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