descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2014Embargo end date: 01 Jan 2011 English Publisher:Springer New York

Authors: Alex Rice; Neil Lyall;

doi: 10.1007/978-1-4939-1601-6_10 , 10.48550/arxiv.1103.5030

arXiv: http://arxiv.org/abs/1103.5030

Polynomial Differences in the Primes

- Summary
- Subjects
- Metrics

Abstract

We establish, utilizing the Hardy-Littlewood Circle Method, an asymptotic formula for the number of pairs of primes whose differences lie in the image of a fixed polynomial. We also include a generalization of this result where differences are replaced with any integer linear combination of two primes.

References added, some typos corrected

Related Organizations

University of Georgia
Georgia
University of Georgia Press
United States

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average