On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions

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DAĞLI M. C., CAN M.

MONATSHEFTE FUR MATHEMATIK, cilt.184, sa.1, ss.77-103, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 184 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00605-017-1020-7
  • Dergi Adı: MONATSHEFTE FUR MATHEMATIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.77-103
  • Anahtar Kelimeler: Eisenstein series, Zeta functions, Dedekind sums, Bernoulli numbers and polynomials, CHARACTER DEDEKIND SUMS, ANALOGS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, transformation formulas for a large class of Eisenstein series defined for Re(s) > 2 and Im(z) > 0 by