Non-gaussian Distribution in Higher Moments of Matrix Elements

Seminar: 
Number Theory
Event time: 
Monday, November 5, 2012 - 11:30am to Sunday, November 4, 2012 - 7:00pm
Location: 
431 DL
Speaker: 
Peng Zhao
Speaker affiliation: 
Yale
Event description: 

We study the distribution in higher moments of matrix elements for the modular surface. Our approach is via Watson’s triple product formula, Kuznetsov trace formula and Rudnick-Soundararajan’s technique to obtain a lower bound of higher moments of L-functions. It turns out that the higher moments of matrix elements does not follow the gaussian distribution.