2016/01/26 by D. A. Goldston, Liyang Yang, Goldston, D. A. +1
Mathematics · #11P32 #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1601.06902
openalex publication_date 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Assuming the Riemann Hypothesis, we obtain asymptotic formulas for the average number representations of an even integer as the sum of two primes. We use the method of Bhowmik and Schlage-Puchta and refine their results slightly to obtain a more recent result of Languasco and Zaccagnini, and a new result on a smoother average.