Lehmer numbers and primitive roots modulo a prime

DOI10.1016/j.jnt.2019.03.004zbMath1473.11001arXiv1712.03990OpenAlexW2962993818WikidataQ114157258 ScholiaQ114157258MaRDI QIDQ2312884

Tim Trudgian, Stephen D. Cohen

Publication date: 18 July 2019

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

Full work available at URL: https://arxiv.org/abs/1712.03990

zbMATH Keywords

primitive rootsLehmer numbersGolomb's conjecture

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Congruences; primitive roots; residue systems (11A07)

Related Items (9)

A new arithmetical function and its mean value properties ⋮ The primitive roots and a problem related to the golomb conjecture ⋮ On the primitive roots and the generalized Golomb's conjecture ⋮ On Pythagorean triples and the primitive roots modulo a prime ⋮ A note on the primitive roots and the Golomb conjecture ⋮ The number of rational points of a class of superelliptic curves ⋮ On the distribution of primitive roots and Lehmer numbers ⋮ Representations of element as sum of primitive root and Lehmer number in 419_p ⋮ A note on high-dimensional D. H. Lehmer problem

Cites Work

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• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• A proof of the conjecture of Cohen and Mullen on sums of primitive roots
• Unsolved problems in number theory

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