Counting integral points of affine hypersurfaces
Per Salberger
TL;DR
This paper establishes uniform upper bounds on the number of integral points of bounded height on affine hypersurfaces, extending previous results in the field.
Contribution
It generalizes earlier bounds for integral points on affine hypersurfaces, providing a broader and more uniform framework.
Findings
Derived new upper bounds for integral points on affine hypersurfaces
Extended previous results by Browning, Heath-Brown, and the author
Provided a more general approach to counting integral solutions
Abstract
We give uniform upper bounds for the number of integral points of bounded height on affine hypersurfaces, which generalise earlier results of Browning,Heath-Brown and the author.
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Taxonomy
TopicsMeromorphic and Entire Functions · Algebraic Geometry and Number Theory · Analytic Number Theory Research