2 papers
math.NT2025
Control and its applications in additive combinatorics
Thomas F. Bloom
We prove new quantitative bounds on the additive structure of sets obeying an 'control' assumption, which arises naturally in several questions within additive combinatorics.…
math.NT2022
Egyptian Fractions
Thomas F. Bloom, Christian Elsholtz
Any rational number can be written as the sum of distinct unit fractions. In this survey paper we review some of the many interesting questions concerning such 'Egyptian fraction'…