2024/09/20 by Thi Thu Nguyen, Nguyen, Thi Thu
Chemistry · Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #History and advancements in chemistry #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2409.13368
openalex publication_date 2024/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study an asymptotic formula for average orders of Goldbach representations of an integer as the sum of k primes. We extend the existing result for k=2 to a general k, for which we obtain a better error term. Moreover, we prove an equivalence between the Riemann Hypothesis and a good average order in this case.