An improvement of the Hasse-Weil bound for Artin-Schreier curves via
cyclotomic function fields
An improvement of the Hasse-Weil bound for Artin-Schreier curves via
cyclotomic function fields
The corresponding Hasse-Weil bound was a major breakthrough in history of mathematics. It has found many applications in mathematics, coding theory and theoretical computer science. In general, the Hasse-Weil bound is tight and cannot be improved. However, the Hasse-Weil bound is no longer tight when it is applied to some …