Bounded gaps between primes in number fields and function fields
نویسندگان
چکیده
منابع مشابه
Bounded Gaps between Primes in Number Fields and Function Fields
The Hardy–Littlewood prime k-tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs of Zhang, Maynard, and Tao have nevertheless made significant progress toward this problem. In this work, we extend the Maynard-Tao method to both number fields and the function field Fq(t).
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© 2014 Thorner; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/), which permits distribution, public display, and publicly performance, making multiple copies, distribution of derivative works, provided the original work is properly cited. This license requir...
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*Correspondence: [email protected] 2Department of Mathematics, Princeton University, Princeton, NJ 08544, USA Full list of author information is available at the end of the article Abstract Let r ≥ 2 be an integer. We adapt the Maynard–Tao sieve to produce the asymptotically best-known bounded gaps between products of r distinct primes. Our result applies to positive-density subsets of the pr...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2015-12554-3