M. Ram Murty (成人大片 University)

Date

Monday January 16, 2023
4:30 pm - 5:30 pm

Location

Jeffery Hall, Room 319

Number Theory Seminar

Monday, January 16th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 319

Speaker: M. Ram Murty (成人大片)

Title: SOME REMARKS ON HASSE'S INEQUALITY

Abstract: Hasse's inequality regarding the number of points on an elliptic curve mod p has a colorful history. Some of this is well-known in that it led to the rapid development of algebraic geometry. But some work of Davenport in the 1930's that predate Hasse's work is not so well-known. The beauty and elegance of this work got buried in the sands of time. I will give a streamlined version of both Davenport and Hasse's works and discuss especially what Davenport's work suggests for the classical Riemann hypothesis.