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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/126882026-10-18T20:39:15Zopenairedrivercom_ebyu_10000col_ebyu_10001

A short note on the Pell-Lucas-Eisenstein seriesUysal, MineInam, IlkerÖzkan, EnginEisenstein seriesinteger partitionsmodular formsPell-Lucas numbersIn 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. © 2022 World Scientific Publishing Company.World Scientific2022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12688https://doi.org/10.1142/s17935571225021991793-5571enAsian-European Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12688