2015/08/26 by N. A. Carella, Carella, N. A.
Mathematics · Physics and Astronomy · #11A41 #11G05 #11N05 #11N13 #11N25 #11N32 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM)
paper · pdf · doi:10.48550/arxiv.1509.00457
openalex publication_date 2015/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.