Primitive Root Bias for Twin Primes

DOI10.1080/10586458.2017.1360809zbMath1450.11001arXiv1705.02485OpenAlexW2749410453MaRDI QIDQ5382927

Elvis Kahoro, Florian Luca, Stephan Ramon Garcia

Publication date: 19 June 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02485

zbMATH Keywords

primitive rootprimetwin primetwin prime conjectureBateman-Horn conjectureBrun sieve

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 (5)

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 ⋮ On the Difference in Values of the Euler Totient Function Near Prime Arguments

Cites Work

• Unnamed Item
• New equidistribution estimates of Zhang type
• Bounded gaps between primes
• On the Difference in Values of the Euler Totient Function Near Prime Arguments
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• Chen's double sieve, Goldbach's conjecture and the twin prime problem
• Small gaps between primes

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