• A New Generalization of Hardy-Berndt Sums

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/123/02/0177-0192

• # Keywords

Dedekind sums; Hardy–Berndt sums; Bernoulli numbers and polynomials.

• # Abstract

In this paper, we construct a new generalization of Hardy–Berndt sums which are explicit extensions of Hardy–Berndt sums. We express these sums in terms of Dedekind sums $s_r(h,k:x,y|\lambda)$ with $x=y=0$ and obtain corresponding reciprocity formulas.

• # Author Affiliations

1. Department of Mathematics, Akdeniz University, 07058-Antalya, Turkey

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019