vix.ing · top · new · best · stats · spec

Average orders of Goldbach Estimates in Arithmetic Progressions

2024/07/17 by Thi Thu Nguyen, Nguyen, Thi Thu
Mathematics · #Limits and Structures in Graph Theory #Analytic Number Theory Research #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2407.18266

Abstract

We obtain asymptotic results on the average numbers of Goldbach representations of an interger as the sum of two primes in different arithmetic progressions. We also prove an omega-result showing that the asymptotic result is essentially the best possible.

Related