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

Can M.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.20, sa.2, ss.193-200, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1007/s10114-004-0324-4
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.193-200
  • Anahtar Kelimeler: Dedekind sums, Hardy sums, DEDEKIND SUMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.