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arXiv · 2408.09077

Generalization of some of Ramanujan's formulae

Aung Phone Maw
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Abstract

We shall make use of the method of partial fractions to generalize some of Ramanujan's infinite series identities, including Ramanujan's famous formula for $\zeta(2n+1)$, and we shall also give a generalization of the transformation formula for the Dedekind eta function. It is shown here that the method of partial fractions can be used to obtain many similar identities of this kind.

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Aung Phone Maw. 2024-08-17. Generalization of some of Ramanujan's formulae. https://arxiv.org/abs/2408.09077

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