Kubra Benl.i

activity

20172026

collaborators

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 $s (n)$ , the sum of proper divisors of an integer $n$ . In particular, we show that $s (n)$ 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 $ψ (x; q, a)$ and $ψ (x; q, b)$ are simultaneously larger than…

math.NT2017

Small prime $k$ th power residues for $k = 2, 3, 4$ : A reciprocity laws approach

Kübra Benli, Paul Pollack

Nagell proved that for each prime $p \equiv 1 (mod 3)$ , $p > 7$ , there is a prime $q < 2 p^{1/2}$ that is a cubic residue modulo $p$ . Here we show that for each fixed $ε > 0$ , and each…

On the digits of the sum of proper divisors

Joint distributions of error terms for primes in arithmetic progressions modulo 11

Small prime kth power residues for k=2,3,4: A reciprocity laws approach

Small prime $k$ th power residues for $k = 2, 3, 4$ : A reciprocity laws approach