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Goldbach Representations with several primes

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arxiv 2409.13368 v1 pith:4V34OLXR submitted 2024-09-20 math.NT

Thi Thu Nguyen This is my paper · ORCID
classification math.NT
keywords averagegoldbachprimesrepresentationsasymptoticbettercaseequivalence
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function

    math.NT 2025-05 reject novelty 4.0 of 10

    The paper attempts to prove an equivalence between the error in a smooth weighted prime number theorem and zero-free regions for the Riemann zeta function, but critical proof errors undermine the result.

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