Mean representation number of integers as the sum of primes

DOI10.1215/00277630-2010-010zbMath1217.11089arXiv0806.3295OpenAlexW2591891974MaRDI QIDQ3078480

Gautami Bhowmik, Jan-Christoph Schlage-Puchta

Publication date: 28 February 2011

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3295

zbMATH Keywords

primessum of primesrepresentation number

Mathematics Subject Classification ID

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

Related Items (10)

The number of Goldbach representations of an integer ⋮ Tauberian oscillation theorems and the distribution of Goldbach numbers ⋮ Oscillations in the Goldbach conjecture ⋮ ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII ⋮ An M-function associated with Goldbach's problem ⋮ Meromorphic continuation of the Goldbach generating function ⋮ A mean value of the representation function for the sum of two primes in arithmetic progressions ⋮ Average Goldbach and the quasi-Riemann hypothesis ⋮ GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET L ‐FUNCTIONS ⋮ Explicit formulae for averages of Goldbach representations

Cites Work

• Unnamed Item
• An additive problem of prime numbers. II
• Refinements of Goldbach's conjecture, and the generalized Riemann hypothesis
• Topics in multiplicative number theory
• A large sieve density estimate near \(\sigma = 1\)
• An additive problem of prime numbers
• CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES

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