Bounded gaps between primes in number fields and function fields

@inproceedings{Castillo2014BoundedGB,
  title={Bounded gaps between primes in number fields and function fields},
  author={A. Castillo and C. Hall and R. J. Oliver and P. Pollack and L. Thompson},
  year={2014}
}
  • A. Castillo, C. Hall, +2 authors L. Thompson
  • Published 2014
  • Mathematics
  • 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 $\mathbb{F}_q(t)$. 
    17 Citations
    The twin prime conjecture
    • 1
    • PDF
    GAPS BETWEEN PRIMES
    • 3
    • PDF
    Primes in intervals of bounded length
    • 29
    • PDF
    Dense clusters of primes in subsets
    • 52
    • PDF
    Bounded gaps between product of two primes in number fields

    References

    SHOWING 1-10 OF 23 REFERENCES
    Bounded gaps between primes
    • 362
    • Highly Influential
    • PDF
    Bounded gaps between primes in Chebotarev sets
    • 25
    • PDF
    Small gaps between primes
    • 165
    • Highly Influential
    • PDF
    Primes in tuples I
    • 185
    • PDF
    Number Theory in Function Fields
    • 649
    An explicit approach to hypothesis H for polynomials over a finite field
    • 10
    • PDF
    L-functions of twisted Legendre curves
    • 21
    • PDF
    Opera De Cribro
    • 235