On the existence of certain Lehmer numbers modulo a prime
type: Item
instance of: scholarly article
title: On the existence of certain Lehmer numbers modulo a prime
author: Bidisha Roy
published in: Expositiones Mathematicae
publication date: 2025-01-02T00:00:00Z
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11L05
zbMATH DE Number: 7961118
zbMATH Keywords: Lehmer numbers
zbMATH Keywords: primitive roots
zbMATH Keywords: non-primitive roots
zbMATH Keywords: Golomb's conjecture
MaRDI profile type: Publication
cites work: On the parity of k-th powers modulo p. A generalization of a problem of Lehmer
cites work: Mixed exponential sums over finite fields
cites work: QUADRATIC NONRESIDUES AND NONPRIMITIVE ROOTS SATISFYING A COPRIMALITY CONDITION
cites work: Using Stepanov's method for exponential sums involving rational functions
cites work: Q3980374
cites work: On consecutive primitive elements in a finite field
cites work: A proof of the conjecture of Cohen and Mullen on sums of primitive roots
cites work: Lehmer numbers and primitive roots modulo a prime
cites work: On Weil's proof of the bound for Kloosterman sums.
cites work: Q3900124
cites work: Q5538132
cites work: Algebraic constructions for Costas arrays
cites work: Distribution of residues modulo p
cites work: Unsolved problems in number theory
cites work: Four consecutive primitive elementsin a finite field
cites work: On the generalization of the D. H. Lehmer problem
cites work: On the generalization of the D. H. Lehmer problem II
cites work: Q4889853
cites work: Estimation of a sum along an algebraic curve
cites work: Equations over finite fields. An elementary approach
cites work: Q5642599
cites work: On the distribution of the primitive roots of a prime
cites work: Distribution of residues and primitive roots
cites work: On the Golomb's conjecture and Lehmer's numbers
cites work: On the Riemann Hypothesis in Function-Fields
cites work: Q5294893
cites work: ON THE GENERALIZATION OF A PROBLEM OF D. H. LEHMER
cites work: Q4694932
cites work: On the difference between a D. H. Lehmer number and its inverse modulo q
cites work: Q4296334
DOI: 10.1016/J.EXMATH.2024.125628
description: scientific article; zbMATH DE number 7961118