49 citations · 270 across the 43 of their papers we have counts for
43 papers
Refinements of Katz-Sarnak theory for the number of points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
This paper goes beyond Katz-Sarnak theory on the distribution of curves over finite fields according to their number of rational points, theoretically, experimentally and conjectur…
On the Maximum Gonality of a Curve over a Finite Field
Xander Faber, Jon Grantham, Everett W. Howe
The gonality of a smooth geometrically connected curve over a field is the smallest degree of a nonconstant -morphism from the curve to the projective line. In general, the…
Lower bounds on the maximal number of rational points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
For a given genus , we give lower bounds for the maximal number of rational points on a smooth projective absolutely irreducible curve of genus over .…
Deducing information about curves over finite fields from their Weil polynomials
Everett W. Howe
We discuss methods for using the Weil polynomial of an isogeny class of abelian varieties over a finite field to determine properties of the curves (if any) whose Jacobians lie in…
Powers of 3 with few nonzero bits and a conjecture of Erdős
Vassil S. Dimitrov, Everett W. Howe
Using completely elementary methods, we find all powers of 3 that can be written as the sum of at most twenty-two distinct powers of 2, as well as all powers of 2 that can be writt…
Every positive integer is the order of an ordinary abelian variety over
Everett W. Howe, Kiran S. Kedlaya
We show that for every integer , there is an ordinary abelian variety over that has exactly rational points.