Some arithmetic on the Hardy sums s(2)(h, k) and s(3)(h, k)

Can M.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol.20, no.2, pp.193-200, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1007/s10114-004-0324-4
  • Journal Name: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.193-200
  • Keywords: Dedekind sums, Hardy sums, DEDEKIND SUMS
  • Akdeniz University Affiliated: Yes

Abstract

In this work, Rademacher's two questions about Dedekind sums are applied to the Hardy sums s(2)(h,k) and s(3)(h,k). Some relations between these sums are obtained and some inequalities are given.