Seminar on Pure Mathematics - An Improvement on Hasse-Weil Bound and Applications
3:00pm - 4:00pm
Room 4472, Academic Building (near Lifts 25-26)

The Hasse-Weil bound is a deep result in mathematics and has found wide applications in mathematics, theoretical computer science, information theory etc. In general, the bound is tight and cannot be improved. However, for some special families of curves the bound could be improved substantially. In this talk, we focus on the Hasse-Weil bound for the curve defined by y2+y=f(x) over the finite field F_q of characteristic 2.

We show that the Hasse-Weil bound for this special family of curves can be improved if q=2n with odd n>2 which is the same case where Serre improved the Hasse-Weil bound. However, our improvement is greater than Serre's improvement for this special family of curves.

日期
時間
3:00pm - 4:00pm
地點
Room 4472, Academic Building (near Lifts 25-26)
講者/ 表演者:
Prof. Chaoping XING
Nanyang Technological University, Singapore
語言
英文
適合對象
校友
教職員
研究生
本科生
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數學系
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