A new generalization of Hardy-Berndt sums

DAĞLI M. C., CAN M.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.123, sa.2, ss.177-192, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 123 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s12044-013-0125-8
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.177-192
  • Anahtar Kelimeler: Dedekind sums, Hardy-Berndt sums, Bernoulli numbers and polynomials, DEDEKIND SUMS, THETA-FUNCTIONS, DEGENERATE, EISENSTEIN, NUMBERS, SERIES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.