Three Imprimitive Character Sums

Authors

Brad Isaacson, CUNY New York City College of TechnologyFollow

Document Type

Article

Publication Date

2021

Abstract

We express three imprimitive character sums in terms of generalized Bernoulli numbers. These sums are generalizations of sums introduced and studied by Arakawa, Berndt, Ibukiyama, Kaneko and Ramanujan in the context of modular forms and theta function identities. As a corollary, we obtain a formula for cotangent power sums considered by Apostol.

Comments

This article was originally published in Integers and distributed under a Creative Commons Attribution (CC-BY 4.0) License.