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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.CO2022
Uniform distribution and geometric incidence theory
A. Gafni, A. Iosevich, E. Wyman
A celebrated unit distance conjecture due to Erd\H os says that that the unit distances cannot arise more than times (for any ) among points in the Euclidean…