Campana points on diagonal hypersurfaces
Francesca Balestrieri, Julia Brandes, Miriam Kaesberg, Judith Ortmann,, Marta Pieropan, Rosa Winter
TL;DR
This paper develops a new integral model to count Campana points on diagonal hypersurfaces of degree greater than one, providing an asymptotic formula that extends previous research in the field.
Contribution
It introduces a novel integral model for counting Campana points and generalizes existing asymptotic formulas for these points on diagonal hypersurfaces.
Findings
Established an asymptotic count for Campana points of bounded height.
Extended previous results to higher degree diagonal hypersurfaces.
Provided background on Campana points on hyperplanes.
Abstract
We construct an integral model for counting Campana points of bounded height on diagonal hypersurfaces of degree greater than one, and give an asymptotic formula for their number, generalising work by Browning and Yamagishi. The paper also includes background material on the theory of Campana points on hyperplanes and previous results in the field.
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Taxonomy
TopicsMeromorphic and Entire Functions · Mathematics and Applications · Advanced Algebra and Geometry