The Hardy-Littlewood conjectures on the twin primes and the binary Goldbach problem are true
General Mathematics
2020-08-31 v3
Abstract
A celebrated conjecture of Hardy and Littlewood provides with an asymptotic formula for the counting function of the twin primes. We give an unconditional proof of such a formula by means of a finite Ramanujan expansion of the counting function expressed in terms of the von Mangoldt function and its incomplete form. In a completely analogous way, we solve the conjugate conjecture on the representations of any even integer as the sum of two prime numbers.
Keywords
Cite
@article{arxiv.2006.04547,
title = {The Hardy-Littlewood conjectures on the twin primes and the binary Goldbach problem are true},
author = {Maurizio Laporta},
journal= {arXiv preprint arXiv:2006.04547},
year = {2020}
}
Comments
Lemma 1 is wrong