Bounded Gaps Between Primes in Numer 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 F-q(t).
Castillo, A., C. Hall, R.J.L. Oliver, P. Pollack, and L. Thompson. 2015. "Bounded Gaps Between Primes in Numer Fields and Function Fields." Proceedings of the American Mathematical Society 143(7): 2841-2856.
American Mathematical Society
Proceedings of the American Mathematical Society