Short intervals asymptotic formulae for binary problems with primes and powers, I: density $3/2$
Number Theory
2017-05-12 v3
Abstract
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime and a square, or a prime square. Such results are obtained both assuming the Riemann Hypothesis and in the unconditional case.
Cite
@article{arxiv.1504.02271,
title = {Short intervals asymptotic formulae for binary problems with primes and powers, I: density $3/2$},
author = {Alessandro Languasco and Alessandro Zaccagnini},
journal= {arXiv preprint arXiv:1504.02271},
year = {2017}
}
Comments
revised version