arXiv subjects

Thi Thu Nguyen

Publications and source records attributed to Thi Thu Nguyen.

2 recordsLinked to original sources

arXiv2025

Average orders of Goldbach Estimates in Arithmetic Progressions

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.

math.NT↗

arXiv2024

Goldbach Representations with several primes

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.

math.NT↗