Joint PU/IAS Number Theory
Second Moment of the GL_3 Standard L-function on the Critical Line
The second and fourth moments of the Riemann zeta function have been known for about a century, but the sixth moment remains elusive.
The sixth moment of zeta can be thought of as the second moment of a GL_3 Eisenstein series, and it is natural to consider variants of the problem
where the Eisenstein series is replaced by a cusp form. I will discuss recent work with Agniva Dasgupta and Wing Hong Leung where we obtain a
nontrivial bound on this second moment. I will also discuss some applications, including an improvement on the Rankin-Selberg problem.
Date & Time
October 10, 2024 | 3:30pm – 4:30pm
Location
Simonyi 101 and Remote AccessSpeakers
Matthew Young, Rutgers University
Event Series
Categories
Notes
Meeting ID: 920 2195 5230
Passcode: The three-digit integer that is the cube of the sum of its digits.
Video link: https://www.ias.edu/video/second-moment-gl3-standard-l-function-critica…