Plane curves in boxes and equal sums of two powers
Number Theory
2007-05-23 v1
Abstract
Given an absolutely irreducible ternary form , 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.
Cite
@article{arxiv.math/0506497,
title = {Plane curves in boxes and equal sums of two powers},
author = {T. D. Browning and D. R. Heath-Brown},
journal= {arXiv preprint arXiv:math/0506497},
year = {2007}
}
Comments
15 pages; to appear in Math. Zeit