On Euler-Ramanujan formula, Dirichlet series and minimal surfaces

2018/12/04 by Dey, Rukmini, Sarma, Rishabh, Singh, Rahul Kumar
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1812.01453

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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