Translator Disclaimer
December 2017 A higher rank Selberg sieve with an additive twist and applications
M. Ram Murty, Akshaa Vatwani
Funct. Approx. Comment. Math. 57(2): 151-184 (December 2017). DOI: 10.7169/facm/1622

Abstract

We develop an axiomatic formulation of the higher rank version of the classical Selberg sieve with an ``additive twist'' and provide asymptotic formulas for the same. As an application of this higher rank sieve, we obtain improvements of results of Heath-Brown and Ho-Tsang on almost prime $k$-tuples.

Citation

Download Citation

M. Ram Murty. Akshaa Vatwani. "A higher rank Selberg sieve with an additive twist and applications." Funct. Approx. Comment. Math. 57 (2) 151 - 184, December 2017. https://doi.org/10.7169/facm/1622

Information

Published: December 2017
First available in Project Euclid: 28 March 2017

zbMATH: 06864170
MathSciNet: MR3732894
Digital Object Identifier: 10.7169/facm/1622

Subjects:
Primary: 11N05
Secondary: 11N35, 11N36

Rights: Copyright © 2017 Adam Mickiewicz University

JOURNAL ARTICLE
34 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.57 • No. 2 • December 2017
Back to Top