A short note on the Pell-Lucas-Eisenstein series

---

Atıf İçin Kopyala

UYSAL M., İNAM İ., ÖZKAN E.

Asian-European Journal of Mathematics, cilt.15, sa.5, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 15 Sayı: 5
• Basım Tarihi: 2022
• Doi Numarası: 10.1142/s1793557122502199
• Dergi Adı: Asian-European Journal of Mathematics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Anahtar Kelimeler: Eisenstein series, integer partitions, modular forms, Pell-Lucas numbers
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2022 World Scientific Publishing Company.In this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. First, we show that the Pell-Lucas-Eisenstein series are convergent on their domain. Afterwards we prove that they satisfy some certain functional equations. Proofs follows from some on calculations on Pell-Lucas numbers.