35 citations · 163 across the 46 of their papers we have counts for
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On the distribution of rational points on ramified covers of abelian varieties
Pietro Corvaja, Julian Lawrence Demeio, Ariyan Javanpeykar +2
We prove new results on the distribution of rational points on ramified covers of abelian varieties over finitely generated fields of characteristic zero. For example, given a…
A note on the zeroes of the Fredholm series
Umberto Zannier, Francesco Veneziano
The issue had been raised whether the Fredholm series has infinitely many zeroes in the unit disk. We provide an affirmative answer, proving that in fact ev…
Analytic and rational sections of relative semi-abelian varieties
Pietro Corvaja, Junjiro Noguchi, Umberto Zannier
The hyperbolicity statements for subvarieties and complements of hypersurfaces in abelian varieties admit arithmetic analogues, due to Faltings (and Vojta for the semi-abelian case…
Classification of rational angles in plane lattices
Roberto Dvornicich, Francesco Veneziano, Umberto Zannier
This paper is concerned with configurations of points in a plane lattice which determine angles that are rational multiples of . We shall study how many such angles may appear i…