Granville, A;
Kane, DM;
Koukoulopoulos, D;
Lemke Oliver, RJ;
(2015)
Best possible densities of dickson m-tuples, as a consequence of zhang-maynard-tao.
In: Pomerance, C and Th. Rassias, M, (eds.)
Analytic Number Theory: In Honor of Helmut Maier's 60th Birthday.
(pp. 133-144).
Springer: Cham, Switzerland.
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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.
| Type: | Book chapter |
|---|---|
| Title: | Best possible densities of dickson m-tuples, as a consequence of zhang-maynard-tao |
| ISBN-13: | 9783319222394 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-319-22240-0_10 |
| Publisher version: | https://doi.org/10.1007/978-3-319-22240-0_10 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10073144 |
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