16 citations · 49 across the 11 of their papers we have counts for
4 papers · 1 filter
The shape of quartic fields
Robert Hough
We use the method of Shintani, as developed by Taniguchi and Thorne, to prove the joint cuspidal equidistribution of the shape of quartic fields paired with the shape of its cubic…
The shape of cubic fields
Robert Hough
We use the method of Shintani, as developed by Taniguchi and Thorne, to prove the quantitative equidistribution of the shape of cubic fields when the fields are ordered by discrimi…
Covering systems with restricted divisibility
Robert D. Hough, Pace P. Nielsen
We prove that every distinct covering system has a modulus divisible by either 2 or 3.
Sandpiles on the square lattice
Bob Hough, Dan Jerison, Lionel Levine
We give a non-trivial upper bound for the critical density when stabilizing i.i.d. distributed sandpiles on the lattice . We also determine the asymptotic spectral ga…