Short intervals asymptotic formulae for binary problems with primes and powers, II: density $1$
Number Theory
2017-01-03 v2
Abstract
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime square and a square, or a prime square. Such results are obtained both assuming the Riemann Hypothesis and in the unconditional case.
Cite
@article{arxiv.1504.04709,
title = {Short intervals asymptotic formulae for binary problems with primes and powers, II: density $1$},
author = {Alessandro Languasco and Alessandro Zaccagnini},
journal= {arXiv preprint arXiv:1504.04709},
year = {2017}
}
Comments
revised version