Open Access
2014 New equidistribution estimates of Zhang type
Wouter Castryck, Terence Tao, Xiao-Feng Xie, Étienne Fouvry, Gergely Harcos, Emmanuel Kowalski, Philippe Michel, Paul Nelson, Eytan Paldi, János Pintz, Andrew Sutherland
Algebra Number Theory 8(9): 2067-2199 (2014). DOI: 10.2140/ant.2014.8.2067

Abstract

We prove distribution estimates for primes in arithmetic progressions to large smooth squarefree moduli, with respect to congruence classes obeying Chinese remainder theorem conditions, obtaining an exponent of distribution 12+7300.

Citation

Download Citation

Wouter Castryck. Terence Tao. Xiao-Feng Xie. Étienne Fouvry. Gergely Harcos. Emmanuel Kowalski. Philippe Michel. Paul Nelson. Eytan Paldi. János Pintz. Andrew Sutherland. "New equidistribution estimates of Zhang type." Algebra Number Theory 8 (9) 2067 - 2199, 2014. https://doi.org/10.2140/ant.2014.8.2067

Information

Received: 4 February 2014; Revised: 12 October 2014; Accepted: 12 November 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1307.11097
MathSciNet: MR3294387
Digital Object Identifier: 10.2140/ant.2014.8.2067

Subjects:
Primary: 11P32

Keywords: Bombieri–Vinogradov theorem , Elliott–Halberstam conjecture , prime gaps

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.8 • No. 9 • 2014
MSP
Back to Top