most citedQuantitative Hilbert irreducibility and almost prime values of polynomial discriminants

10 citations · 10 across the 1 of their papers we have counts for

collaborators

2 papers

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.NT2021★ 10 cited

Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants

Theresa C. Anderson, Ayla Gafni, Robert J. Lemke Oliver +3

We study two polynomial counting questions in arithmetic statistics via a combination of Fourier analytic and arithmetic methods. First, we obtain new quantitative forms of Hilbert…