1 citations · 3 across the 12 of their papers we have counts for
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Counting Drinfeld modules with prescribed local conditions
Tristan Phillips
We give asymptotics for the number of Drinfeld -modules over of a given height, which satisfy prescribed sets of local conditions. This is done b…
Points of bounded height on projective spaces over global function fields via geometry of numbers
Tristan Phillips
We give a new proof of a result of DiPippo and Wan for counting points of bounded height on projective spaces over global function fields. The new proof adapts the geometry of numb…
Points of bounded height on weighted projective spaces over global function fields
Tristan Phillips
In this note we give exact formulas (and asymptotics) for the number of rational points of bounded height on weighted projective stacks over global function fields.
Average analytic ranks of elliptic curves over number fields
Tristan Phillips
A conditional bound is given for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a n…
Points of bounded height in images of morphisms of weighted projective stacks with applications to counting elliptic curves
Tristan Phillips
Asymptotics are given for the number of rational points in the domain of a morphism of weighted projective stacks whose images have bounded height and satisfy a (possibly infinite)…