Functional Equations related to the Dirichlet lambda and beta functions

Published 22 Apr 2014 in math.NT | (1404.5467v2)

Abstract: We give closed-form expressions for the Dirichlet beta function at even positive integers and for the Dirichlet lambda function at odd positive integers, based on the function J(s) defined via convergent integral. We also show fundamental relations between Dirichlet lambda and beta functions and the function J(s).

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Jeonwon Kim

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