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arXiv · 1612.08307

Generalization of a Ramanujan identity

Örs Rebák
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Abstract

The Euler product for the Landau--Ramanujan constant could have motivated a curious identity by Ramanujan that appears in his notebooks two times. This observation involves a square root and the first four prime numbers of the form $4n+3$, i.e., $3, 7, 11, 19$. Berndt asks whether Ramanujan's identity is an isolated result, or if there are other identities of this type. With this work we would like to give a possible answer to Berndt's question.

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Örs Rebák. 2016-12-26. Generalization of a Ramanujan identity. https://doi.org/10.1080/00029890.2020.1668716

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