New identities for the family of Zeta function by using distributional representations

Published 17 Sep 2024 in math.NT | (2409.11029v1)

Abstract: Chaudhry and Qadir obtained new identities for the gamma function by using a distributional representation for it. Here we obtain new identities for the Riemann zeta function and its family by using that representation for them. This also leads to new identities involving the Dirichlet eta and Lambda functions.

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