Bounded Gaps Between Primes in Number Fields and Function Fields

Authors

Abel Castillo
Chris Hall
Robert J. Lemke Oliver
Paul Pollack
Lola Thompson, Oberlin CollegeFollow

Abstract

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).

Repository Citation

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

Publisher

American Mathematical Society

Publication Date

7-1-2015

Publication Title

Proceedings of the American Mathematical Society

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.1090/S0002-9939-2015-12554-3

Keywords

Polynomials

Language

English

Format

text