On Euler–Ramanujan formula, Dirichlet series and minimal surfaces

被引：0
|
作者：
Rukmini Dey
Rishabh Sarma
Rahul Kumar Singh
机构：
[1] International Centre for Theoretical Sciences-TIFR, Department of Mathematics
[2] University of Florida, Department of Mathematics
[3] Indian Institute of Technology Patna,undefined
来源：
Proceedings - Mathematical Sciences | 2020年 / 130卷
关键词：
Euler–Ramanujan identities; Dirichlet series; minimal surfaces; 11-XX; 53-XX;
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摘要：
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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