Decoupling, exponential sums and the Riemann zeta function
Number Theory
2016-02-23 v2
Abstract
We establish a new decoupling inequality for curves in the spirit of [B-D1], [B-D2] which implies a new mean value theorem for certain exponential sums crucial to the Bombieri-Iwaniec method as developed further in [H]. In particular, this leads to an improved bound for the zeta function on the critical line
Cite
@article{arxiv.1408.5794,
title = {Decoupling, exponential sums and the Riemann zeta function},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1408.5794},
year = {2016}
}
Comments
14 pages