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math.NT2022
Improved bounds on number fields of small degree
Theresa C. Anderson, Ayla Gafni, Kevin Hughes +5
We study the number of degree number fields with discriminant bounded by . In this article, we improve an upper bound due to Schmidt on the number of such fields that was pr…
math.NT2016★ 3 cited
On restriction estimates for discrete quadratic surfaces
Kevin Henriot, Kevin Hughes
We obtain truncated restriction estimates of an unexpected form for discrete surfaces \begin{align} S = \{\, ( n_1 , \dots , n_d , R( n_1 , \dots, n_d ) ) \,,\, n_i \in [-N,N] \cap…
math.NT2016★ 3 cited
Discrete restriction estimates of epsilon-removal type for kth-powers and k-paraboloids
Kevin Henriot, Kevin Hughes
We obtain restriction estimates of -removal type for the set of -th powers of integers, and for discrete -dimensional surfaces of the form \[ \{ (n_1,\dots,n_d,n_1^k + \do…