Bounds for standard L-functions

Paul Nelson

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

https://www.ias.edu/video/bounds-standard-l-functions