5 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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 than…
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…
Sums of proper divisors with missing digits
Kübra Benli, Giulia Cesana, Cécile Dartyge +2
Let denote the sum of proper divisors of an integer . In 1992, Erdős, Granville, Pomerance, and Spiro (EGPS) conjectured that if is a set of integers with a…
Small prime th power residues for : A reciprocity laws approach
Kübra Benli, Paul Pollack
Nagell proved that for each prime , , there is a prime that is a cubic residue modulo . Here we show that for each fixed , and each…