62 citations · 134 across the 12 of their papers we have counts for
4 papers · 2 filters
Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao
Andrew Granville, Daniel M. Kane, Dimitris Koukoulopoulos +1
We determine for what proportion of integers one now knows that there are infinitely many prime pairs as a consequence of the Zhang-Maynard-Tao theorem. We consider t…
The number of ramified primes in number fields of small degree
Robert J. Lemke Oliver, Frank Thorne
In this paper we investigate the distribution of the number of primes which ramify in number fields of degree d <= 5. In analogy with the classical Erdos-Kac theorem, we prove for…
The distribution of the Tamagawa ratio in the family of elliptic curves with a two-torsion point
Zev Klagsbrun, Robert J. Lemke Oliver
In recent work, Bhargava and Shankar have shown that the average size of the -Selmer group of an elliptic curve over is exactly , and Bhargava and Ho have shown…
Bounded gaps between primes in number fields and function fields
Abel Castillo, Chris Hall, Robert J. Lemke Oliver +2
The Hardy--Littlewood prime -tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs…