Special values of Ibukiyama-Saito L-functions

Authors

Brad Isaacson, CUNY New York City College of TechnologyFollow

Document Type

Article

Publication Date

2018

Abstract

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.

Comments

First published in Kyushu Journal of Mathematics in volume 72, no. 2 (2018), published by Faculty of Mathematics Kyushu University, © 2018 Faculty of Mathematics, Kyushu University.