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arXiv:math/0506497 [math.NT]AbstractReferencesReviewsResources

Plane curves in boxes and equal sums of two powers

T. D. Browning, D. R. Heath-Brown

Published 2005-06-24Version 1

Given 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.

Comments: 15 pages; to appear in Math. Zeit
Categories: math.NT
Subjects: 11G35, 11P05
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