Noah Lebowitz-Lockard

activity

20162025

most citedA note on the number of Egyptian fractions

2 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

Distribution mod $p$ of Euler's totient and the sum of proper divisors

Noah Lebowitz-Lockard, Paul Pollack, Akash Singha Roy

We consider the distribution in residue classes modulo primes $p$ of Euler's totient function $ϕ (n)$ and the sum-of-proper-divisors function $s (n) := σ (n) - n$ . We prove that the value…

math.NT2021

On factorizations into coprime parts

Matthew Just, Noah Lebowitz-Lockard

Let $f (n)$ and $g (n)$ be the number of unordered and ordered factorizations of $n$ into integers larger than one. Let $F (n)$ and $G (n)$ have the additional restriction that the fac…

Distribution mod p of Euler's totient and the sum of proper divisors

On factorizations into coprime parts

Distribution mod $p$ of Euler's totient and the sum of proper divisors