Event time:
Wednesday, February 13, 2008 - 9:45am to 10:45am
Location:
214LOM
Speaker:
Xiaoqing Li
Speaker affiliation:
SUNY Buffalo
Event description:
For a general L-function, the bound on its critical line obtained by
applying the Phragmen-Lindeloff interpolation method is called the convexity
bound. Any bounds with a power saving of the convexity bound are
called subconvexity bounds. In this talk we will give the first subconvexity
bounds for GL(3) L-functions as well as for GL(3) × GL(2) L-functions.
Our methods also recover the subconvexity bounds for GL(2) L-functions
in the eigenvalue aspect .