Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values

Abstract Inspired by a famous identity of Ramanujan, we propose a general formula linearizing the convolution of Dirichlet series as the sum of Dirichlet series with modified weights; its specialization produces new identities and recovers several identities derived earlier in the lit...

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Bibliographic Details
Main Authors: Chavan, Parth, Chavan, Sarth, Vignat, Christophe, Wakhare, Tanay
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Springer US 2022
Online Access:https://hdl.handle.net/1721.1/146276