2005/07/27 by Alex Kontorovich, Kontorovich, Alex V.
Mathematics · #11C08 #11L15 #11L20 #11N32 #11N35 #11N36 #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.math/0507569
openalex publication_date 2005/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Selberg identified the "parity" barrior, that sieves alone cannot distinguish between integers having an even or odd number of factors. We give here a short and self-contained demonstration of parity breaking using bilinear forms, modeled on the Twin Primes Conjecture.