On Euler-Ramanujan formula, Dirichlet series and minimal surfaces
Number Theory
2019-08-21 v2
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.
Cite
@article{arxiv.1812.01453,
title = {On Euler-Ramanujan formula, Dirichlet series and minimal surfaces},
author = {Rukmini Dey and Rishabh Sarma and Rahul Kumar Singh},
journal= {arXiv preprint arXiv:1812.01453},
year = {2019}
}