The distribution of rational points on some projective varieties

von Fabian Dehnert
Dissertation
Datum der mündl. Prüfung:2019-03-04
Erschienen:2020-01-09
Betreuer:Prof. Dr. Jörg Brüdern
Gutachter:Prof. Dr. Jörg Brüdern
Gutachter:Prof. Dr. Valentin Blomer
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-7797

 

 

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Zusammenfassung

Englisch

This thesis is concerned with establishing Manin's conjecture on the distribution of ratinal points for a certain class of bihomogeneous varieties. It generalizes work of Vaughan on the representation of integers as sum of cubes to a setting dealing with blocks of variables of the shape xy³.
Keywords: Hardy-Littlewood Method; Manin's Conjecture; Distibution of rational points; Bihomogeneous varieties; Analytic number theory
 
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