Some remarks on Stolt's theorems for Pellian equations
type: Item
instance of: scholarly article
title: Some remarks on Stolt's theorems for Pellian equations
zbMATH Open document ID: 0293.10009
DOI: 10.1007/BF02384753
author: Peter Heichelheim
published in: Arkiv för Matematik
publication date: 1974-01-01T00:00:00Z
review text: The author indicates that one of the theorems of \textit{B. Stolt} [Ark. Mat. 3, 117--132 (1955; Zbl 0064.04004)] is not quite correct in its entirety; namely, the theorem that states that the number of classes of solutions of the Diophantine equation \(u^2-Dv^2=4N\) \((N\) square-free) is a power of two. A counterexample in the form of \(u^2-79v^2=4(1365)\) is given. The author also proves two theorems on the evaluation of the number of classes of solutions of Diophantine equations of similar type.
reviewed by: Edward L. Cohen
Mathematics Subject Classification ID: 11D09
zbMATH DE Number: 3458732
MaRDI profile type: Publication
cites work: On the Diophantine equation \(u^2-Dv^2=\pm 4N\)
cites work: Q4479828
cites work: Q3243274
description: scientific article; zbMATH DE number 3458732