Spectral Methods And Prime Numbers Counting Problems
General Mathematics
2016-06-20 v8
Abstract
A recent heuristic argument based on basic concepts in spectral analysis showed that the twin prime conjecture and a few other related primes counting problems are valid. A rigorous version of the spectral method, and a proof of the more general dePolignac conjecture on the existence of infinitely many primes pairs p and p + 2k, k => 1, is proposed in this note.
Cite
@article{arxiv.1509.00457,
title = {Spectral Methods And Prime Numbers Counting Problems},
author = {N. A. Carella},
journal= {arXiv preprint arXiv:1509.00457},
year = {2016}
}
Comments
Thirty Pages. Keywords: Distribution of Primes, Twin Primes Conjecture, dePolignac Conjecture, Germain Primes, Prime Diophantine Equations