ON THE PELL-EISENSTEIN SERIES OF POWER m

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Atıf İçin Kopyala

Inam I., Özkan E., Uysal M., Ozkaya Z.

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science, cilt.2, sa.1, ss.77-82, 2022 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2 Sayı: 1
• Basım Tarihi: 2022
• Doi Numarası: 10.31926/but.mif.2022.2.64.1.6
• Dergi Adı: Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.77-82
• Anahtar Kelimeler: Eisenstein series, integer partitions, modular forms, Pell numbers
• Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the Pell-Eisenstein Series which are obtained by Pell numbers and they are a new class of Eisenstein-type series. First we see that they are well-defined and then we prove that the Pell-Eisenstein series satisfies some functional equations. Proofs are based on properties of Pell numbers and calculations.