ON THE PELL-EISENSTEIN SERIES OF POWER m
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
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
© 2022, Transilvania University of Brasov 1. All rights reserved.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.