New proofs provide insights into theta function identities and their historical context, including Ramanujan's work.
On page 241 of his Second Notebook, Ramanujan recorded one of his theta function identity, which involves the ratio of the fourth power of theta functions with respect to ψ(q). In this article, we give a new proof for this theta function identity. Also, we give a new proof of another identity with respect to ϕ(q) established by B. C. Berndt and we establish two new theta function identities analogous to Ramanujan’s theta function identities.
No takes yet. Share an insight, caveat, or question.
Praveenkumar et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: