On Some Identities Involving Certain Hardy Sums and a Kloosterman Sum

DAĞLI, MUHAMMET

doi:10.1007/s11253-021-01883-5

On Some Identities Involving Certain Hardy Sums and a Kloosterman Sum

DAĞLI M. C.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.72, sa.11, ss.1724-1732, 2021 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 72 Sayı: 11
Basım Tarihi: 2021
Doi Numarası: 10.1007/s11253-021-01883-5
Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Sayfa Sayıları: ss.1724-1732
Akdeniz Üniversitesi Adresli: Evet

Özet

We propose a new reciprocity theorem for the Hardy sum s(5)(h, p). In addition, a hybrid mean-value problem involving the Hardy sum s(4)(h, p) and a Kloosterman sum is studied and two exact computational formulas are obtained.