On certain arithmetic graphs and their applications to diophantine problems
type: Item
instance of: scholarly article
title: On certain arithmetic graphs and their applications to diophantine problems
zbMATH Open document ID: 1226.11046
author: Kálmán Győry
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2009-11-18T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1229696577
review text: This is a continuation of the author's investigations [Publ. Math. 27, 229--242 (1980; Zbl 0466.05047), Publ. Math. 29, 79--94 (1982; Zbl 0522.10013), A tribute to Paul Erdős, 207--222 (1990; Zbl 0727.11039), Sets, graphs and numbers. Colloq. Math. Soc. János Bolyai 60, 365--374 (1992; Zbl 0798.11042)] on arithmetic graphs. Some general quantitative results are formulated for these graphs over finitely generated integral domains. The results have several applications to diophantine problems. Consequences on resultant equations and discriminant equations are formulated.
reviewed by: István Gaál
Mathematics Subject Classification ID: 11D61
zbMATH DE Number: 5635554
zbMATH Keywords: arithmetical graphs
zbMATH Keywords: resultant equations
zbMATH Keywords: discriminant equations
MaRDI profile type: Publication
OpenAlex ID: W2046686162
DOI: 10.7169/FACM/1229696577
description: scientific article; zbMATH DE number 5635554