A mean value of the representation function for the sum of two primes in arithmetic progressions

DOI10.1142/S1793042117500518zbMath1370.11117arXiv1504.01967OpenAlexW2963346691MaRDI QIDQ2978909

Yuta Suzuki

Publication date: 2 May 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01967

zbMATH Keywords

circle methodarithmetic progressionsmean valueGoldbach conjecture

Mathematics Subject Classification ID

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

Related Items (6)

A Montgomery-Hooley theorem for the number of Goldbach representations ⋮ An M-function associated with Goldbach's problem ⋮ Asymptotics of Goldbach representations ⋮ A survey on the theory of multiple Dirichlet series with arithmetical coefficients as numerators ⋮ Cesàro averages for Goldbach representations with summands in arithmetic progressions ⋮ GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET L ‐FUNCTIONS

Cites Work

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• On Linnik's theorem on Goldbach numbers in short intervals and related problems
• The number of Goldbach representations of an integer
• Mean representation number of integers as the sum of primes
• An additive problem of prime numbers
• CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES

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