Ertan Elma

activity

20232025

most citedOn the number of irreducible factors with a given multiplicity in function fields

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2025

On the Second Hardy-Littlewood Conjecture

Bittu Chahal, Ertan Elma, Nic Fellini +2

The second Hardy-Littlewood conjecture asserts that the prime counting function $π (x)$ satisfies the subadditive inequality \begin{align*} π(x+y)\leqslant π(x)+π(y) \end{align*} fo…

math.NT2024★ 1 cited

On the number of irreducible factors with a given multiplicity in function fields

Sourabhashis Das, Ertan Elma, Wentang Kuo +1

Let $k \geq 1$ be a natural number and $f \in F_{q} [t]$ be a monic polynomial. Let $ω_{k} (f)$ denote the number of distinct monic irreducible factors of $f$ with multiplicity…

math.NT2023

A discrete mean value of the Riemann zeta function

Kübra Benli, Ertan Elma, Nathan Ng

In this work, we estimate the sum \begin{align*} \sum_{0 < \Im(ρ) \leq T} ζ(ρ+α)X(ρ) Y(1\!-\! ρ) \end{align*} over the nontirival zeros $ρ$ of the Riemann zeta funtion where $α$ is…