A Short Note on the Pell-Lucas-Eisenstein Series
Number Theory
2022-07-15 v1
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.
Cite
@article{arxiv.2207.06762,
title = {A Short Note on the Pell-Lucas-Eisenstein Series},
author = {Mine Uysal and Ilker Inam and Engin Ozkan},
journal= {arXiv preprint arXiv:2207.06762},
year = {2022}
}
Comments
5 pages, might differ slightly from the published version