Bounds for standard L-functions

Bounds for standard L-functions

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Paul Nelson, IAS
IAS - Simonyi Hall Seminar Room SH-101

In-Person and Online Talk 

Zoom link:  https://princeton.zoom.us/j/97126136441

Passcode: The three digit integer that is the cube of the sum of its digits

We consider the standard L-function attached to a cuspidal automorphic representation of a general linear group.  We present a proof of a subconvex bound in the t-aspect.  More generally, we address the spectral aspect in the case of uniform parameter growth.

These results are the subject of the third paper linked below, building on the first two.

https://arxiv.org/abs/1805.07750
https://arxiv.org/abs/2012.02187
https://arxiv.org/abs/2109.15230