On Two Moduli Problems Concerning Number of Points and Equidistribution over Prime Finite Fields

2001/02/28 by Nikolaj Glazunov
Mathematics · #math.NT #math.AG #msc:11F10 #msc:11K20

paper · pdf

published as Proceedings of the Int. Conf. on Discrete Models in Control System Theory, Krasnovidovo, (June 22-27, 1998),- Moscow: Dialogue-MSU (1998) 23-25 · 5 pages. Extended version of Proc. from Int. Conf. on Discrete Models in Control System Theory, Krasnovidovo, (June 22-27, 1998),- Moscow: MGU

arxiv created 2001/04/28 · arxiv updated 2009/11/30

Abstract

Problems of (i) precise (exact) bound for families of hyperelliptic curves over prime finite fields and (ii) equidistribution of angles of Kloosterman sums are discussed.

Related

• The number of rational points of hyperelliptic curves over subsets of finite fields
• Number of points on a family of curves over a finite field
• The distribution of the number of points modulo an integer on elliptic curves over finite fields
• Number of Points on the Full Moduli Space of Curves over Finite Fields
• Equidistribution of CM points on a Shimura Curve modulo a ramified prime