On identities involving the sixth order mock theta functions

TL;DR

This paper provides q-series proofs for four identities involving sixth order mock theta functions from Ramanujan's lost notebook and demonstrates how these identities can quickly prove additional related identities.

Contribution

It introduces new q-series proofs for sixth order mock theta function identities and connects Ramanujan's identities to recent proofs by Berndt and Chan.

Findings

Four new q-series proofs of sixth order mock theta identities

A method to derive related identities using Ramanujan's original identities

Enhanced understanding of sixth order mock theta functions

Abstract

We present q-series proofs of four identities involving sixth order mock theta functions from Ramanujan's lost notebook. We also show how Ramanujan's identities can be used to give a quick proof of four sixth order identities of Berndt and Chan.