2019/06/08 by Weixiong Li, Li, Weixiong
Mathematics · #11N05 #11N13 #11N32 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT) #math.NT #msc:11N05 #msc:11N13 #msc:11N32
paper · pdf · doi:10.48550/arxiv.1906.03370
arxiv created 2019/06/08 · openalex publication_date 2019/06/08 · arxiv updated 2019/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report the results of our empirical investigations on the Bateman-Horn conjecture. This conjecture, in its commonly known form, produces rather large deviations when the polynomials involved are not monic. We propose a modified version of the conjecture which empirically demonstrates remarkable accuracy even for modest values of primes.