ON THE PELL-EISENSTEIN SERIES OF POWER m

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Transilvania University of Brasov 1

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info:eu-repo/semantics/openAccess

Özet

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.

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Eisenstein series, integer partitions, modular forms, Pell numbers

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Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science

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2

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1

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Onay

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