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arXiv · 2207.06762

A Short Note on the Pell-Lucas-Eisenstein Series

Mine Uysal·Ilker Inam·Engin Ozkan
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Abstract

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. Firstly, 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.

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Mine Uysal, Ilker Inam, Engin Ozkan. 2022-07-14. A Short Note on the Pell-Lucas-Eisenstein Series. https://doi.org/10.1142/s1793557122502199

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