On the Golomb's conjecture and Lehmer's numbers

DOI10.1515/math-2017-0083zbMath1405.11101OpenAlexW2738999468WikidataQ123331634 ScholiaQ123331634MaRDI QIDQ2406578

Xiaonan Wang, Ting-Ting Wang

Publication date: 5 October 2017

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

Full work available at URL: https://doi.org/10.1515/math-2017-0083

zbMATH Keywords

primitive rootscongruence equationGolomb's conjectureD. H. Lehmer's numbersthe hybrid exponential sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Congruences; primitive roots; residue systems (11A07) Trigonometric and exponential sums (general theory) (11L03) Power residues, reciprocity (11A15)

Related Items (5)

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 the distribution of primitive roots and Lehmer numbers ⋮ Lehmer numbers and primitive roots modulo a prime

Cites Work

• On the existence of some specific elements in finite fields of characteristic 2
• Algebraic constructions for Costas arrays
• A MEAN VALUE RELATED TO D. H. LEHMER'S PROBLEM AND THE RAMANUJAN'S SUM
• A note on Artin's conjecture in algebraic number fields.
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