Some identities on the second order mock theta functions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Cai Xingyuan, Eric H. Liu, Olivia X. M. Yao
Cited by: 0

Abstract

Recently, Nath and Das investigated congruence properties for the second order mock theta function $B(q)$. In their paper, they asked for analytic proofs of three identities on the second order mock theta functions $A(q)$, $B(q)$ and $μ_2(q)$. In this paper, we settle Nath and Das' open problem by using the $(p, k)$-parametrization of theta functions and several identities due to Hickerson and Mortenson.

Fields of Study & Subjects

Advanced Mathematical Identities Mathematical functions and polynomials Advanced Combinatorial Mathematics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 January 2026
Document type
Preprint