most cited1998 Moursund Lectures at the University of Oregon

23 citations · 23 across the 1 of their papers we have counts for

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math.AG2001

Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields

Kristin Lauter, Jean-Pierre Serre

Currently, the best upper bounds on the number of rational points on an absolutely irreducible, smooth, projective algebraic curve of genus g defined over a finite field F_q come e…

math.AG2001

The maximum or minimum number of rational points on curves of genus three over finite fields

Kristin Lauter, Jean-Pierre Serre

We show that for all finite fields F_q, there exists a curve C over F_q of genus 3 such that the number of rational points on C is within 3 of the Serre-Weil upper or lower bound.…