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Research Paper on Distribution of Lehmer Numbers Modulo Primes by Bidisha Roy et al

By TEAM CIRCULAR EXPRESS • 20 Oct 2026
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• This research paper, published in Results in Mathematics, explores the distribution of Lehmer numbers modulo odd primes.
• The authors prove the existence of Lehmer quadratic residues and non-residues for primes p > e^27.
• The study provides explicit estimates for the difference between the number of such values and their expected counts.
• It also examines the density of primes for which a given integer is a Lehmer number.
Purpose of Issuance
Academic research publication on number theory
Most Important Details
The paper proves the existence of Lehmer quadratic residues and non-residues for primes p > e^27 and provides bounds for the relative density of primes for which a given integer is a Lehmer number.
Research Topic
Lehmer numbers, non-primitive roots, Weil’s estimates, kloostermann sums
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