2006Bulletin of the London Mathematical SocietyRequires access

FLAT CYCLOTOMIC POLYNOMIALS OF ORDER THREE

Gennady Bachman

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Abstract

A cyclotomic polynomial Φn is said to be of order 3 if n = pqr for three distinct odd primes p, q, and r. We establish the existence of an infinite family of such polynomials whose coefficients do not exceed 1 in modulus. 2000 Mathematics Subject Classification 11B83, 11C08.

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A cyclotomic polynomial Φn is said to be of order 3 if n = pqr for three distinct odd primes p, q, and r. We establish the existence of an infinite family of such polynomials whose coefficients do not exceed 1 in modulus. 2000 Mathematics Subject Classification 11B83, 11C08.

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Available abstract

A cyclotomic polynomial Φn is said to be of order 3 if n = pqr for three distinct odd primes p, q, and r. We establish the existence of an infinite family of such polynomials whose coefficients do not exceed 1 in modulus. 2000 Mathematics Subject Classification 11B83, 11C08.

Key concepts: Mathematics, Cyclotomic polynomial, Order (exchange), Mathematics Subject Classification, Polynomial, Combinatorics, Reciprocal polynomial, Pure mathematics

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