2 papers
math.CA2026
Reinforcing a Philosophy: A counting approach to square functions over local fields
Kirsti D. Biggs, Julia Brandes, Kevin Hughes
In this paper, we study square functions for extension operators over finite-type, planar curves endowed with the Euclidean arclength measure. We prove new results for curves of th…
math.NT2024
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…