Best Possible Densities of Dickson m-Tuples, as a Consequence of Zhang–Maynard–Tao

Andrew Granville (), Daniel M. Kane (), Dimitris Koukoulopoulos () and Robert J. Lemke Oliver ()
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Andrew Granville: Université de Montréal, Département de mathématiques et de statistique
Daniel M. Kane: University of California-San Diego, Department of Mathematics
Dimitris Koukoulopoulos: Université de Montréal, Département de mathématiques et de statistique
Robert J. Lemke Oliver: Stanford University, Department of Mathematics

A chapter in Analytic Number Theory, 2015, pp 133-144 from Springer

Abstract: Abstract We determine for what proportion of integers h one now knows that there are infinitely many prime pairs p, p + h as a consequence of the Zhang–Maynard–Tao theorem. We consider the natural generalization of this to k-tuples of integers, and we determine the limit of what can be deduced assuming only the Zhang–Maynard–Tao theorem.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-22240-0_10

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DOI: 10.1007/978-3-319-22240-0_10

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