The number of Goldbach representations of an integer

DOI10.1090/S0002-9939-2011-10957-2zbMath1252.11078arXiv1011.3198OpenAlexW2164447510MaRDI QIDQ2880639

Alessandro Zaccagnini, Alessandro Languasco

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3198

zbMATH Keywords

Goldbach-type theoremsHardy-Littlewood method

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items (13)

Tauberian oscillation theorems and the distribution of Goldbach numbers ⋮ Oscillations in the Goldbach conjecture ⋮ A Cesàro average for an additive problem with an arbitrary number of prime powers and squares ⋮ ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII ⋮ Cesàro average in short intervals for Goldbach numbers ⋮ Sums of many primes ⋮ An M-function associated with Goldbach's problem ⋮ A mean value of the representation function for the sum of two primes in arithmetic progressions ⋮ Asymptotics of Goldbach representations ⋮ A note on an average additive problem with prime numbers ⋮ Cesàro averages for Goldbach representations with summands in arithmetic progressions ⋮ A Cesàro average for an additive problem with prime powers ⋮ Explicit formulae for averages of Goldbach representations

Cites Work

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• Corrigendum to ``Refinements of Goldbach's conjecture, and the generalized Riemann hypothesis
• An additive problem of prime numbers. II
• On Linnik's theorem on Goldbach numbers in short intervals and related problems
• Some refinements for error terms estimates for certain additive problems with primes
• Refinements of Goldbach's conjecture, and the generalized Riemann hypothesis
• A large sieve density estimate near \(\sigma = 1\)
• Mean representation number of integers as the sum of primes
• An additive problem of prime numbers

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