Flat cyclotomic polynomials of order three

[摘要] We say that a cyclotomic polynomial Phi(n) has order three if n is the product of three distinct primes, p < q < r. Let A (n) be the largest absolute value of a coefficient of Phi(n). For each pair of primes p < q, we give an infinite family of r such that A(pqr) = 1. We also prove that A(pqr) = A(pqs) whenever s > q is a prime congruent to +/-r (mod pq). (C) 2007 Elsevier Inc. All fights reserved.

[发布日期] 2007-11-01

[关键词] cyclotomic polynomial;flat cyclotomic polynomial;height of a cyclotomic polynomial;ternary cyclotomic polynomial