14 citations · 32 across the 17 of their papers we have counts for
4 papers · 1 filter
Divisor-sum fibers
Paul Pollack, Carl Pomerance, Lola Thompson
Let denote the sum-of-proper-divisors function, that is, . Erdős-Granville-Pomerance-Spiro conjectured that for any set of asy…
Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds
Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1
In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessarily commensurable. While this is known to be true for arithmetic hyperbolic 3-m…
Lower Bounds for Heights in Relative Galois Extensions
Shabnam Akhtari, Kevser Aktaş, Kirsti Biggs +3
The goal of this paper is to obtain lower bounds on the height of an algebraic number in a relative setting, extending previous work of Amoroso and Masser. Specifically, in our fir…
A generalization of the practical numbers
Nicholas Schwab, Lola Thompson
A positive integer is practical if every can be written as a sum of distinct divisors of . One can generalize the concept of practical numbers by applying an arit…