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math.NT2025
The Rogers--Ramanujan continued fraction
Bruce C. Berndt, Örs Rebák
The primary purpose of this paper is to provide a survey of properties, values, identities, and generalizations of the Rogers--Ramanujan continued fraction, which is closely relate…
math.NT2025
Ninth degree analogue of Ramanujan's septic theta function identity
Sun Kim, Örs Rebák
On page 206 in his lost notebook, Ramanujan recorded a seventh degree identity for his theta function . We give an analogous ninth degree identity. We also provide an applica…
math.NT2021★ 2 cited
Explicit values for Ramanujan's theta function
Bruce C. Berndt, Örs Rebák
This paper provides a survey of particular values of Ramanujan's theta function , when , where is a positive rational n…