Some identities on the second order mock theta functions
Number Theory
2026-01-06 v1
Abstract
Recently, Nath and Das investigated congruence properties for the second order mock theta function . In their paper, they asked for analytic proofs of three identities on the second order mock theta functions , and . In this paper, we settle Nath and Das' open problem by using the -parametrization of theta functions and several identities due to Hickerson and Mortenson.
Cite
@article{arxiv.2601.01848,
title = {Some identities on the second order mock theta functions},
author = {Xingyuan Cai and Eric H. Liu and Olivia X. M. Yao},
journal= {arXiv preprint arXiv:2601.01848},
year = {2026}
}