Combinatorics of two second-order mock theta functions

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We introduce combinatorial interpretations of the coefficients of two second-order mock theta functions. Then, we provide a bijection that relates the two combinatorial interpretations for each function. By studying other special cases of the multivariate identity proved by the bijection, we obtain new combinatorial interpretations for the coefficients of Watson's third-order mock theta function ω(q) and Ramanujan's third-order mock theta function f(q).

Original languageEnglish (US)
Pages (from-to)285-295
Number of pages11
JournalInternational Journal of Number Theory
Issue number2
StatePublished - Nov 12 2020

Bibliographical note

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© 2021 World Scientific Publishing Company.


  • Partitions
  • mock theta functions
  • q-series


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