On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials

DAĞLI M. C., CAN M.

JOURNAL OF NUMBER THEORY, cilt.156, ss.105-124, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 156
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.jnt.2015.04.013
  • Dergi Adı: JOURNAL OF NUMBER THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.105-124
  • Anahtar Kelimeler: Dedekind sums, Bernoulli polynomials, Bernoulli numbers, Euler-MacLaurin formula, Laplace transform
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We give a simple proof for the reciprocity formulas of character Dedekind sums associated with two primitive characters, whose modulus need not to be the same, by utilizing the character analogue of the Euler-MacLaurin summation formula. Moreover, we extend known results on the integral of products of Bernoulli polynomials by considering the integral