Mean square of zeta function, circle problem and divisor problem revisited

By Jean Bourgain, N. Watt. 2017

84 citations recorded by the source corpus.

This paper is closely related to the recent work [BW17] of the same authors and our purpose is to elaborate more on some of the results and methods from [BW17]. More specifically our goal is two-fold. Firstly, we will indicate how a simple variant related to Section 4 in [BW17] leads to the following improvements of Theorem 3 in [BW17]

Subfields: Algebra and Number Theory, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/aeccfc61abf47b87d38f5908277c894d38c7d0c5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ruixiang Zhang
2. Hong Wang
3. Larry Guth

Citations in the corpus

• A sharp square function estimate for the cone in ℝ3 (2019, background): “ GUTH, HONG WANG, AND RUIXIANG ZHANG The paper [9] also considers a decoupling problem in which the cone is divided into small squares instead of sectors. This problem was raised by Bourgain and Watt [5] in their work on the Gauss circle problem. The paper [9] shows that the square function estimate”