BYU

Abstract by Hankun Ko

Personal Infomation


Presenter's Name

Hankun Ko

Co-Presenters

None

Degree Level

Doctorate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Paul Jenkins

Title

A zero distributions of the new forms of weight k with level 2

Abstract

This note is concerned with the zeros of holomorphic Hecke cusp forms in the space of newforms. The zeros of such forms are symmetric about some geodesic segments in the fundamental domain. Amit Ghosh and Peter Sarnak call those zeros that lie on the segments, real. And they estimated the number of zeros as weight goes to infinity for the level 1 case. We extend their result to level 2 case on the two vertical geodesic segments.