Fractional parts of polynomials over the primes. II
Number Theory
2017-04-21 v1
Abstract
We consider the distance to the nearest integer of f(p), where f is a quadratic polynomial with irrational leading coefficient. This distance is very small as a function of p, for infinitely many primes p. We give a 14% improvement in the exponent that measures the distance, compared with the most recent result in the literature.
Keywords
Cite
@article{arxiv.1704.05898,
title = {Fractional parts of polynomials over the primes. II},
author = {Roger Baker},
journal= {arXiv preprint arXiv:1704.05898},
year = {2017}
}