March 2024 Bounds for the smallest integral solutionof Pell equation over a number field
Paraskevas Alvanos, Dimitrios Poulakis
Funct. Approx. Comment. Math. 70(1): 41-54 (March 2024). DOI: 10.7169/facm/2095

Abstract

In this paper we compute an explicit upper bound of polynomial typefor the size of the smallest integral solution of the Pell equation over a number field of degree $\geq 2$.

Citation

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Paraskevas Alvanos. Dimitrios Poulakis. "Bounds for the smallest integral solutionof Pell equation over a number field." Funct. Approx. Comment. Math. 70 (1) 41 - 54, March 2024. https://doi.org/10.7169/facm/2095

Information

Published: March 2024
First available in Project Euclid: 15 March 2024

MathSciNet: MR4718477
Digital Object Identifier: 10.7169/facm/2095

Subjects:
Primary: 11D09
Secondary: 11R80 , 12E12

Keywords: Integral points , Pell equation

Rights: Copyright © 2024 Adam Mickiewicz University

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Vol.70 • No. 1 • March 2024
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