2 papers
math.NT2025
Large prime gaps and probabilistic models
William Banks, Kevin Ford, Terence Tao
We introduce a new probabilistic model of the primes consisting of integers that survive the sieving process when a random residue class is selected for every prime modulus below a…
math.NT2025
Zero-free regions for the Riemann zeta function
Kevin Ford
We improve existing explicit bounds of Vinogradov-Korobov type for zero-free regions of the Riemann zeta function, both for large height t and for every t. A primary input is an ex…