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Flat cyclotomic polynomials of order three
Authors:Nathan Kaplan
Affiliation:Princeton University, Department of Mathematics, Princeton, NJ 08544, USA
Abstract:We say that a cyclotomic polynomial Φn 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 Φn. 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 View the MathML source.
Keywords:11B83   11C08   11N56
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