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

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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

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