Second moment of the GL_3 standard L-function on the critical line.
Second moment of the GL_3 standard L-function on the critical line.
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Matthew Young, Rutgers
The second and fourth moments of the Riemann zeta function have been known for about a century, but the sixth moment remains elusive. 听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.听 I will discuss recent work with Agniva Dasgupta and Wing Hong Leung where we obtain a nontrivial bound on this second moment.听 I will also discuss some applications, including an improvement on the Rankin-Selberg problem.
Meeting ID:听 920 2195 5230
Passcode:听 听 The three-digit integer that is the cube of the sum of its digits.