On the Pell-Eisenstein Series of Power M
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Transilvania University of Brasov 1
Abstract
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. © 2022, Transilvania University of Brasov 1. All rights reserved.
Description
Keywords
Eisenstein Series, Integer Partitions, Modular Forms, Pell Numbers
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WoS Q
N/A
Scopus Q
Q4
Source
Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science
Volume
2
Issue
1
Start Page
77
End Page
82
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