23 citations · 23 across the 1 of their papers we have counts for
3 papers
math.GR2003★ 23 cited
1998 Moursund Lectures at the University of Oregon
J. -P. Serre
These informal notes are closely based on a series of eight lectures given by J.-P. Serre at the University of Oregon in October 1998. Professor Serre gave two talks per week for f…
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.…