Lola Thompson

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20112026

most citedCounting and effective rigidity in algebra and geometry

14 citations · 32 across the 17 of their papers we have counts for

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Showing 2017 · math.NTShow all

3 papers · 2 filters

math.NT2017★ 5 cited

Divisor-sum fibers

Paul Pollack, Carl Pomerance, Lola Thompson

Let $s (\cdot)$ denote the sum-of-proper-divisors function, that is, $s (n) = \sum_{d ∣ n, d < n} d$ . Erdős-Granville-Pomerance-Spiro conjectured that for any set $A$ of asy…

math.NT2017

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…

math.NT2017

A generalization of the practical numbers

Nicholas Schwab, Lola Thompson

A positive integer $n$ is practical if every $m \leq n$ can be written as a sum of distinct divisors of $n$ . One can generalize the concept of practical numbers by applying an arit…