On the least square-free primitive root modulo \(p\)

DOI10.1016/j.jnt.2016.06.011zbMath1402.11006arXiv1602.02440OpenAlexW2264041573MaRDI QIDQ311449

Stephen D. Cohen, Tim Trudgian

Publication date: 13 September 2016

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

Full work available at URL: https://arxiv.org/abs/1602.02440

zbMATH Keywords

primitive rootscharacter sumssquare-free integers

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Trigonometric and exponential sums (general theory) (11L03) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (9)

A new arithmetical function and its mean value properties ⋮ On the primitive roots and the generalized Golomb's conjecture ⋮ Explicit upper bound on the least primitive root modulo p2 ⋮ Unnamed Item ⋮ On the distribution of \(r\)-full primitive roots ⋮ Square-full primitive roots ⋮ Explicit upper bounds on the least primitive root ⋮ The least primitive root modulo \(p^2\) ⋮ Square-free and square-full part of an integer

Cites Work

• Unnamed Item
• On the least prime primitive root
• On the squarefree and squarefull numbers
• Resolving Grosswald's conjecture on GRH
• On Grosswald’s conjecture on primitive roots
• Searching for Primitive Roots in Finite Fields
• Further remarks on Diophantine quintuples

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