The tenth order mock theta functions revisited

TL;DR

This paper revisits the tenth order mock theta functions, providing a shorter proof for four identities originally proved by Choi, enhancing understanding of Ramanujan's work.

Contribution

It offers a more concise proof of four key identities among tenth order mock theta functions, expanding on Ramanujan's original findings.

Findings

Shorter proof of four identities between tenth order mock theta functions

Enhanced understanding of Ramanujan's mock theta functions

Clarification of relationships in Ramanujan's lost notebook

Abstract

In this paper we consider the first four of the eight identities between the tenth order mock theta functions, found in Ramanujan's lost notebook. These were originally proved by Choi. Here we give an alternative (much shorter) proof.