Bounded gaps between primes in Chebotarev sets

• Published in: Research in the mathematical sciences Vol. 1; no. 1
• Main Author: Thorner, Jesse
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2014
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematics; Mathematics and Statistics; Chebotarev Density Theorem; Twin primes; Elliptic curves

Purpose A new and exciting breakthrough due to Maynard establishes that there exist infinitely many pairs of distinct primes p 1 , p 2 with | p 1 - p 2 | ≤ 600 as a consequence of the Bombieri-Vinogradov Theorem. In this paper, we apply his general method to the setting of Chebotarev sets of primes....