Some properties of the cyclotomic polynomial

DOI10.1016/0022-247X(66)90144-2zbMath0168.29304MaRDI QIDQ2530965

D. H. Lehmer

Publication date: 1966

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

cyclotomic polynomialgeneralization of Hölder theorem

Mathematics Subject Classification ID

Polynomials in number theory (11C08)

Related Items (19)

On a number-theoretic result of Zsigmondy in domains of quadratic integers ⋮ A survey on coefficients of cyclotomic polynomials ⋮ On coefficients of Carlitz cyclotomic polynomials ⋮ When is \(a^{n}+1\) the sum of two squares? ⋮ Curious congruences for cyclotomic polynomials II ⋮ A note on cyclotomic polynomials ⋮ Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez) ⋮ On consecutive primitive \(n\)th roots of unity modulo \(q\) ⋮ Realistic analysis of some randomized algorithms ⋮ Jordan totient quotients ⋮ Inverse cyclotomic polynomials ⋮ On periods in the coefficients of the cyclotomic polynomials \(F_{np}(x)\) ⋮ Über die \(i\)-ten Koeffizienten der Kreisteilungspolynome ⋮ Ternary cyclotomic polynomials having a large coefficient ⋮ Sequences of numbers generated by addition in formal groups and new primality and factorization tests ⋮ On a problem regarding coefficients of cyclotomic polynomials ⋮ Applications of the representation of finite fields by matrices ⋮ On conjugacy classes of elements of finite order in complex semisimple Lie groups ⋮ Curious congruences for cyclotomic polynomials

Cites Work

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• On the magnitude of the coefficients of the cyclotomic polynomial

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