On The St$\ddot{o}$rmer Theorem And Its Applications
Pingzhi Yuan, Jiagui Luo, Alain Togb\'e

TL;DR
This paper reviews and extends results related to Störmer's theorem on Pell equations and explores four applications of these mathematical findings.
Contribution
It introduces new and existing results on Störmer's theorem and demonstrates four novel applications of these results.
Findings
Extended Störmer theorem results
Four applications of Pell equation solutions
New insights into Pell equations
Abstract
In the present paper we introduce old and new results related to St\"ormer theorem about Pell equations. Moreover we give four types of applications of these results.
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Taxonomy
TopicsAdvanced Mathematical Theories · Mathematics and Applications · Aerospace Engineering and Control Systems
