Primitive root biases for prime pairs. I: Existence and non-totality of biases

DOI10.1016/j.jnt.2017.10.023zbMath1431.11112arXiv1708.04288OpenAlexW2963336055MaRDI QIDQ1686164

Stephan Ramon Garcia, Timothy Schaaff, Florian Luca

Publication date: 21 December 2017

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

Full work available at URL: https://arxiv.org/abs/1708.04288

zbMATH Keywords

primitive rootprimetwin primetwin prime conjectureBateman-Horn conjectureBrun sievecousin primeprime biassexy prime

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Congruences; primitive roots; residue systems (11A07) Primes (11A41)

Related Items (4)

Lateral Movement in Undergraduate Research: Case Studies in Number Theory ⋮ Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples ⋮ The Bateman-Horn conjecture: heuristic, history, and applications ⋮ Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function

Cites Work

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• New equidistribution estimates of Zhang type
• Bounded gaps between primes
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• Handbook of Number Theory I
• On equations $\sigma(n)=\sigma(n+k)$ and $\varphi(n)=\varphi(n+k)$
• Small gaps between primes

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