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      Permanent link:
      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

       

      Muhammet Cihat Dağli1 Mümün Can1

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

       
  • Proceedings – Mathematical Sciences | News

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