Vol. 7, No. 5, 2013

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On binary cyclotomic polynomials

Étienne Fouvry

Vol. 7 (2013), No. 5, 1207–1223
Abstract

We study the number of nonzero coefficients of cyclotomic polynomials Φm, where m is the product of two distinct primes.

Keywords
cyclotomic polynomials, exponential sums, sieves
Mathematical Subject Classification 2010
Primary: 11N13
Secondary: 11L20, 11C08, 11N36, 11L07, 11N05
Milestones
Received: 20 February 2012
Revised: 29 June 2012
Accepted: 13 August 2012
Published: 6 September 2013
Authors
Étienne Fouvry
Laboratoire de Mathématique
Campus d’Orsay, Université de Paris-Sud
Bâtiment 425 UMR 8628
91405 Orsay Cedex
France
http://www.math.u-psud.fr/~fouvry/