On consecutive primitive \(n\)th roots of unity modulo \(q\)

DOI10.1016/j.jnt.2016.11.017zbMath1375.11077OpenAlexW2568469979MaRDI QIDQ503742

Matthew Litman, Siddarth Kannan, Joshua Harrington, Thomas Brazelton

Publication date: 23 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.11.017

zbMATH Keywords

finite fieldsLucas numbersresultantMersenne numberscyclotomic polynomial

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Special sequences and polynomials (11B83)

Related Items (1)

Differences between elements of the same order in a finite field

Cites Work

• Some properties of the cyclotomic polynomial
• On Sophie Germain type criteria for Fermat's Last Theorem
• Tables of Fibonacci and Lucas factorizations
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