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arXiv · 2607.26471

On Oliver's relations between infinite series and infinite products

K. R. Vasuki·Darshan D.·Ravi G. N
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Abstract

The Jacobi triple product identity provides closed-form expressions for many infinite-product generating functions that arise naturally in combinatorics and number theory. A particularly important application is to Dedekind's eta function {\eta}({\tau}), which it expresses as a theta function. Using the theory of modular forms, Oliver [5] classified all eta quotients that are theta functions. In this paper, we present elementary proofs of the identities established by Oliver.

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K. R. Vasuki, Darshan D., Ravi G. N. 2026-07-29. On Oliver's relations between infinite series and infinite products. https://arxiv.org/abs/2607.26471

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