ON A GENERALIZATION OF A THEOREM OF IBUKIYAMA TO EVALUATE THREE IMPRIMITIVE CHARACTER SUMS

Authors

Brad Isaacson, CUNY New York City College of TechnologyFollow

Document Type

Article

Publication Date

5-27-2024

Abstract

In a previous paper, we expressed three families of character sums by certain generalized Bernoulli functions which in turn were expressed by generalized Bernoulli numbers via a complicated and indirect process. In this paper, we generalize a theorem of Ibukiyama to directly express these generalized Bernoulli functions by generalized Bernoulli numbers. As a result, we can express the three families of character sums by generalized Bernoulli numbers in a more elegant fashion than was done before.

Comments

This article was originally published in Integers, available at https://doi.org/10.5281/zenodo.11352798

This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).