Combinatorics of some fifth and sixth order mock theta functions

  • Received: 01 February 2020 Revised: 01 July 2020 Published: 16 September 2020
  • Primary: 05A17, 05A19, 11P81

  • The goal of this paper is to provide a new combinatorial meaning to two fifth order and four sixth order mock theta functions. Lattice paths of Agarwal and Bressoud with certain modifications are used as a tool to study these functions.

    Citation: Meenakshi Rana, Shruti Sharma. Combinatorics of some fifth and sixth order mock theta functions[J]. Electronic Research Archive, 2021, 29(1): 1803-1818. doi: 10.3934/era.2020092

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  • The goal of this paper is to provide a new combinatorial meaning to two fifth order and four sixth order mock theta functions. Lattice paths of Agarwal and Bressoud with certain modifications are used as a tool to study these functions.



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