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ON THE PELL-EISENSTEIN SERIES OF POWER mInam, IlkerÖzkan, EnginÖzkaya, Zeynep DemirkolUysal, MineEisenstein seriesinteger partitionsmodular formsPell numbersIn 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.Transilvania University of Brasov 12022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12849https://doi.org/10.31926/but.mif.2022.2.64.1.62810-2029enBulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Scienceinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12849