Artin twin primes

DOI10.1016/j.jnt.2022.10.006OpenAlexW4309825575MaRDI QIDQ2112730

Mikuláš Zindulka, Ezra Waxman, Magdaléna Tinková

Publication date: 11 January 2023

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

Full work available at URL: https://arxiv.org/abs/2010.15988

zbMATH Keywords

Poisson binomial distributiontwin primesArtin primitive roots

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Distribution of primes (11N05) Analytic computations (11Y35)

Cites Work

• Bounded gaps between primes with a given primitive root. II
• Bounded gaps between primes with a given primitive root
• On primes in arithmetic progression having a prescribed primitive root. II
• On Artin's conjecture and Euclid's algorithm in global fields
• On primes in arithmetic progression having a prescribed primitive root
• The correction factor in Artin's primitive root conjecture.
• Asymptotically exact heuristic for (near) primitive roots.
• On the Bateman-Horn conjecture.
• On Artin's conjecture over function fields
• The Bateman-Horn conjecture: heuristic, history, and applications
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• On the distribution of primitive roots mod p
• Vinogradov’s three primes theorem with primes having given primitive roots
• Character sums for primitive root densities
• On Artin's conjecture.
• The distribution of spacings between small powers of a primitive root
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