Second moment of the GL_3 standard Lfunction on the critical line.
Second moment of the GL_3 standard Lfunction on the critical line.

Matthew Young, Rutgers
IAS  Simonyi Hall Seminar Room SH101
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 RankinSelberg problem.
Meeting ID: 920 2195 5230
Passcode: The threedigit integer that is the cube of the sum of its digits.