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arXiv · 1812.01453

On Euler-Ramanujan formula, Dirichlet series and minimal surfaces

Rukmini Dey·Rishabh Sarma·Rahul Kumar Singh
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Abstract

In this paper, we rewrite two forms of an Euler-Ramanujan identity in terms of certain Dirichlet series and derive functional equation of the latter. We also use the Weierstrass-Enneper representation of minimal surfaces to obtain some identities involving these Dirichlet series and one complex parameter.

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Rukmini Dey, Rishabh Sarma, Rahul Kumar Singh. 2019-08-20. On Euler-Ramanujan formula, Dirichlet series and minimal surfaces. https://arxiv.org/abs/1812.01453

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