Plane curves in boxes and equal sums of two powers

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dc.creatorBrowning, T. D.
dc.creatorHeath-Brown, D. R.
dc.date2005-06-24
dc.date.accessioned2026-07-07T05:21:07Z
dc.date.available2026-07-07T05:21:07Z
dc.descriptionGiven an absolutely irreducible ternary form $F$, the purpose of this paper is to produce better upper bounds for the number of integer solutions to the equation F=0, that are restricted to lie in very lopsided boxes. As an application of the main result, a new paucity estimate is obtained for equal sums of two like powers.
dc.description15 pages; to appear in Math. Zeit
dc.identifierhttps://arxiv.org/abs/math/0506497
dc.identifierhttp://arxiv.org/abs/math/0506497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75577
dc.subjectNumber Theory
dc.subject11G35 (11P05)
dc.titlePlane curves in boxes and equal sums of two powers
dc.typetext

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