The density of integral points on complete intersections

Details The density of integral points on complete intersections The density of integral points on complete intersections

2007-01-03

arxiv.org/abs/math/0701093v3

Q. J. Math. 59 (2008), 29-53.

Mathematics

Number Theory

24 pages, Appendix by Per Salberger; typos corrected

Scientific paper

In this paper, an upper bound for the number of integral points of bounded
height on an affine complete intersection defined over $\mathbb{Z}$ is proven.
The proof uses an extension to complete intersections of the method used for
hypersurfaces by Heath-Brown, the so called q-analogue of van der Corput's AB
process.

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