The tail of the singular series for the prime pair and Goldbach problems

DOI10.7169/facm/1602zbMath1427.11087arXiv1409.2151OpenAlexW2963935473MaRDI QIDQ1746215

Julian Ziegler Hunts, Timothy Ngotiaoco, Daniel Alan Goldston

Publication date: 24 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2151

zbMATH Keywords

Hardy-Littlewood conjectureprime numberssingular series

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Distribution of primes (11N05)

Related Items (2)

On the singular series for primes in arithmetic progressions ⋮ A singular series average and the zeros of the Riemann zeta-function

Cites Work

• Some singular series averages and the distribution of Goldbach numbers in short intervals
• Exponential sums over primes and the prime twin problem
• Bounded gaps between primes
• On a variance associated with the distribution of primes in arithmetic progressions
• Über die punktweise Konvergenz von Ramanujan-Entwicklungen zahlentheoretischer Funktionen
• ERROR TERMS IN ADDITIVE PRIME NUMBER THEORY
• Linnik's theorem on Goldbach numbers in short intervals
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