Bounds for standard L-functions

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