Amir Akbary

activity

20132023

most citedArtin prime producing polynomials

2 citations · 4 across the 13 of their papers we have counts for

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math.NT2013

A log-free zero-density estimate and small gaps in coefficients of $L$ -functions

Amir Akbary, Timothy S. Trudgian

Let $L (s, π \times π^{'})$ be the Rankin--Selberg $L$ -function attached to automorphic representations $π$ and $π^{'}$ . Let $π ~$ and $π ~^{'}$ denote the contragred…

math.NT2013★ 2 cited

Artin prime producing polynomials

Amir Akbary, Keilan Scholten

We define an Artin prime for an integer $g$ to be a prime such that $g$ is a primitive root modulo that prime. Let $g \in Z ∖ {- 1}$ and not be a perfect square. A c…

math.NT2013

A variant of the Bombieri-Vinogradov theorem with explicit constants and applications

Amir Akbary, Kyle Hambrook

We give an effective version with explicit constants of a mean value theorem of Vaughan related to the values of ψ(y, χ), the twisted summatory function associated to the von Mango…

math.NT2013★ 1 cited

Limiting distributions of the classical error terms of prime number theory

Amir Akbary, Nathan Ng, Majid Shahabi

In this article we prove a general theorem which establishes the existence of limiting distributions for a wide class of error terms from prime number theory. As a corollary to our…

A log-free zero-density estimate and small gaps in coefficients of L-functions

Artin prime producing polynomials

A variant of the Bombieri-Vinogradov theorem with explicit constants and applications

Limiting distributions of the classical error terms of prime number theory

A log-free zero-density estimate and small gaps in coefficients of $L$ -functions