2026/07/29 by K. R. Vasuki, Darshan D., Ravi G. N
Mathematics · #math.NT #msc:11F20 #msc:11F27
16 pages, submitted
arxiv created 2026/07/29 · arxiv updated 2026/07/30
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 η(τ), 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.