BOUNDED GAPS BETWEEN PRIMES IN NUMBER FIELDS AND FUNCTION FIELDS

作者:Castillo Abel*; Hall Chris; Oliver Robert J Lemke; Pollack Paul; Thompson Lola
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(7): 2841-2856.
DOI:10.1090/s0002-9939-2015-12554-3

摘要

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 F-q(t).

  • 出版日期2015-7