8 citations · 8 across the 4 of their papers we have counts for
6 papers
The distribution of -numbers of hyperelliptic curves in characteristic three
Derek Garton, Jeffrey Lin Thunder, Colin Weir
In this paper we present a new approach to counting the proportion of hyperelliptic curves of genus defined over a finite field with a given -number. In chara…
Thue Equations and Lattices
Jeffrey Lin Thunder
We consider Diophantine equations of the kind , where $F(X,Y )\in \bz [X,Y]$ is a homogeneous polynomial of degree that has non-zero discriminant and is a…
On sums involving products and quotients of L-functions over function fields
Jeffrey Lin Thunder
We estimate the sum of products or quotients of -functions, where the sum is taken over all quadratic extensions of given genus over a fixed global function field. Our estimate…
Counting points of fixed degree and given height over function fields
Jeffrey Lin Thunder, Martin Widmer
Let be a finite field extension of the function field $\bfF_p(T)$ and its algebraic closure. We count points in projective space with given h…
Asymptotic estimates for the number of integer solutions to decomposable form inequalities
Jeffrey Lin Thunder
We estimate the number of integer solutions to decomposable form inequalities (both asymptotic estimates and upper bounds are provided) when the degree of the form and the number o…
Decomposable form inequalities
Jeffrey Lin Thunder
We consider Diophantine inequalities of the kind |f(x)| \le m, where F(X) \in Z[X] is a homogeneous polynomial which can be expressed as a product of d homogeneous linear forms in…