Average prime-pair counting formula

DOI10.1090/S0025-5718-09-02312-6zbMath1227.11101arXiv0902.4352OpenAlexW2066899790MaRDI QIDQ3584827

Herman J. J. te Riele, Jacob Korevaar

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4352

zbMATH Keywords

averagecounting formulaprime-pairs

Mathematics Subject Classification ID

Distribution of primes (11N05) Analytic computations (11Y35)

Related Items (2)

The prime-pair conjectures of Hardy and Littlewood ⋮ Heuristics of the Cocks-Pinch method

Cites Work

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• Distributional Wiener-Ikehara theorem and twin primes
• The prime-counting function and its analytic approximations. \(\pi(x)\) and its approximations
• Prime pairs and the zeta function
• Some singular series averages and the distribution of Goldbach numbers in short intervals
• Topics in multiplicative number theory
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• On the Sign of the Difference π(x) - li(x)
• Irregularities in the Distribution of Primes and Twin Primes
• A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$
• Prime Number Races
• Small differences between prime numbers

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