Rational points on the superelliptic erdös-selfridge curve of fifth degree

Lakhal, M.; Sander, J.W.

dc.identifier.uri	http://dx.doi.org/10.15488/2700
dc.identifier.uri	http://www.repo.uni-hannover.de/handle/123456789/2726
dc.contributor.author	Lakhal, M.
dc.contributor.author	Sander, J.W.
dc.date.accessioned	2018-01-29T14:34:06Z
dc.date.available	2018-01-29T14:34:06Z
dc.date.issued	2003
dc.identifier.citation	Lakhal, M.; Sander, J.W.: Rational points on the superelliptic erdös-selfridge curve of fifth degree. In: Mathematika 50 (2003), S. 113-124. DOI: https://doi.org/10.1112/S0025579300014844
dc.description.abstract	§1. Introduction, By a remarkable result of Erdos and Selfridge [3] in 1975. the diophantine equation - yk = (x+1)(x+2)…(x+m), (1) - with integers k≥2 and m≥2, has only the trivial solutions. x = −j(j = i, …, m), y = 0. This put an end to the old question whether the product of consecutive positive integers could ever be a perfect power; for a brief account of its history see [7].	eng
dc.language.iso	eng
dc.publisher	Cambridge : Cambridge University Press
dc.relation.ispartofseries	Mathematika 50 (2003)
dc.rights	Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject	11d41: number theory	eng
dc.subject	diophantine equations	eng
dc.subject	higher degree equations	eng
dc.subject	fermat's equation	eng
dc.subject.ddc	510 \| Mathematik	ger
dc.title	Rational points on the superelliptic erdös-selfridge curve of fifth degree	eng
dc.type	Article
dc.type	Text
dc.relation.issn	0025-5793
dc.relation.doi	https://doi.org/10.1112/S0025579300014844
dc.bibliographicCitation.issue	Februar
dc.bibliographicCitation.volume	50
dc.bibliographicCitation.firstPage	113
dc.bibliographicCitation.lastPage	124
dc.description.version	publishedVersion
tib.accessRights	frei zug�nglich