156 citations · 177 across the 20 of their papers we have counts for
4 papers · 1 filter
A Generalization of Lehman's Method
Jonathon Hales, Ghaith Hiary
A new deterministic algorithm for finding square divisors, and finding -power divisors in general, is presented. This algorithm is based on Lehman's method for integer factoriza…
The Legendre Approximation and Arithmetic Bias
Ghaith Hiary, Megan Paasche
An interesting episode in the history of the prime number theorem concerns a formula proposed by Legendre for counting the primes below a given bound. We point out that arithmetic…
New Formulas for the Riemann Zeta Function
Aditya Akula, Ghaith Hiary
A new method for continuing the usual Dirichlet series that defines the Riemann zeta function is presented. Numerical experiments demonstrating the computational efficacy of…
An improved explicit estimate for
Ghaith A. Hiary, Dhir Patel, Andrew Yang
An explicit subconvex bound for the Riemann zeta function on the critical line is proved. Previous subconvex bounds relied on an incorrect version of the Kusmin-L…