A new subconvex bound for GL(3)\rm GL(3) LL-functions in the tt-aspect

preprint2020arXivOpen access

Abstract

We revisit Munshi's proof of the tt-aspect subconvex bound for GL(3)\rm GL(3) LL-functions, and we are able to remove the `conductor lowering' trick. This simplification along with a more careful stationary phase analysis allows us to improve Munshi's bound to, L(1/2+it,π)≪π,ε(1+∣t∣)3/4−3/40+ε. L(1/2+it, π) \ll_{π, ε} (1+|t|)^{3/4-3/40+ε}.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.