1 citations · 2 across the 3 of their papers we have counts for
4 papers
On the Second Hardy-Littlewood Conjecture
Bittu Chahal, Ertan Elma, Nic Fellini +2
The second Hardy-Littlewood conjecture asserts that the prime counting function satisfies the subadditive inequality \begin{align*} π(x+y)\leqslant π(x)+π(y) \end{align*} fo…
On the number of irreducible factors with a given multiplicity in function fields
Sourabhashis Das, Ertan Elma, Wentang Kuo +1
Let be a natural number and be a monic polynomial. Let denote the number of distinct monic irreducible factors of with multiplicity…
Distribution of the number of prime factors with a given multiplicity
Ertan Elma, Greg Martin
Given an integer , let denote the number of primes that divide with multiplicity exactly . We compute the density of those integers for which $…
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 of the Riemann zeta funtion where is…