A short note on the Pell-Lucas-Eisenstein series
Asian-European Journal of Mathematics, cilt.15, sa.5, 2022 (ESCI, Scopus)
- 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.