3 papers
math.NT2026
On the digits of the sum of proper divisors
Kübra Benli, Cécile Dartyge, Charlotte Dombrowsky +2
We study several probabilistic questions concerning the digits of , the sum of proper divisors of an integer . In particular, we show that obeys Benford's law with…
math.NT2025
Joint distributions of error terms for primes in arithmetic progressions modulo 11
Kübra Benli, Greg Martin, Paul Péringuey
We provide a formula for the logarithmic density of the set of positive real numbers on which two prime counting functions and are simultaneously larger tha…
math.NT2024
An annotated bibliography for comparative prime number theory
Greg Martin, Pu Justin Scarfy Yang, Aram Bahrini +9
The goal of this annotated bibliography is to record every publication on the topic of comparative prime number theory (through mid-2024) together with a summary of its results. We…