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arXiv · 1410.8198

Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao

Andrew Granville·Daniel M. Kane·Dimitris Koukoulopoulos·Robert J. Lemke Oliver
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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.

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Andrew Granville, Daniel M. Kane, Dimitris Koukoulopoulos, Robert J. Lemke Oliver. 2014-10-29. Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao. https://doi.org/10.1007/978-3-319-22240-0

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