Combinatorics of some fifth and sixth order mock theta functions

Meenakshi Rana; Shruti Sharma; Meenakshi Rana; Shruti Sharma

doi:10.3934/era.2020092

Electronic Research Archive

2021, Volume 29, Issue 1: 1803-1818. doi: 10.3934/era.2020092

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Combinatorics of some fifth and sixth order mock theta functions

Meenakshi Rana ^{1
,
,},
Shruti Sharma ^{1,2
,}

1.
School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147004, India
2.
Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo-151302, India

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.
- Mock theta functions,
- lattice paths,
- $ n $–color partitions
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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Abstract

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.

References

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