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Mathematics

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City University of New York (CUNY)

Publications and Research

2018

Special values of L-functions

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Special Values Of Ibukiyama-Saito L-Functions, Brad Isaacson Jan 2018

Special Values Of Ibukiyama-Saito L-Functions, Brad Isaacson

Publications and Research

Following the method of Arakawa, we express the special values of an L-function originally introduced by Arakawa and Hashimoto and later generalized by Ibukiyama and Saito at non-positive integers by finite sums of products of Bernoulli polynomials. As a corollary, we prove an infinite family of identities expressing finite sums of products of Bernoulli polynomials by generalized Bernoulli numbers.