A construction ofp-adic Hurwitz-LerchL-function

Ozbek, Selin; CENKCİ, MEHMET

doi:10.1007/s12188-020-00221-z

A construction ofp-adic Hurwitz-LerchL-function

Ozbek S. S., CENKCİ M.

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, cilt.90, sa.1, ss.85-98, 2020 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 90 Sayı: 1
Basım Tarihi: 2020
Doi Numarası: 10.1007/s12188-020-00221-z
Dergi Adı: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet
Sayfa Sayıları: ss.85-98
Anahtar Kelimeler: p-adicL-function, p-adic Hurwitz-LerchL-function, Kummer congruences, ZETA
Akdeniz Üniversitesi Adresli: Evet

Özet

We derive the existence ofp-adic Hurwitz-LerchL-function by means of a method provided by Washington. This function is a generalization of the one-variablep-adicL-function of Kubota and Leopoldt, and two-variablep-adicL-function of Fox. We also deduce divisibility properties of generalized Apostol-Bernoulli polynomials, in particular establish Kummer-type congruences for them.