All Outputs (2)

Improved bounds on number fields of small degree (2024)
Journal Article
Anderson, T. C., Gafni, A., Hughes, K., Lemke Oliver, R. J., Lowry-Duda, D., Thorne, F., Wang, J., & Zhang, R. (in press). Improved bounds on number fields of small degree. Discrete Analysis,

We study the number of degree n number fields with discriminant bounded by X. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for 6 ≤ n ≤ 94.

The Pointillist principle for variation operators and jump functions (2024)
Journal Article
Hughes, K. (in press). The Pointillist principle for variation operators and jump functions. Revista de la Unión Matemática Argentina, https://doi.org/10.33044/revuma.4124

I extend the pointillist principles of Moon and Carrillo-de Guzmán to variational operators and jump functions. 1. The pointillist principle In [11], Moon observed that, for a sequence of sufficiently smooth convolution operators and any q ≥ 1, the w... Read More about The Pointillist principle for variation operators and jump functions.