Algebra & Number Theory Vol. 7, No. 5, 2013

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Editors' interests

ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

Other MSP journals

On binary cyclotomic polynomials

Étienne Fouvry

Vol. 7 (2013), No. 5, 1207–1223

DOI: 10.2140/ant.2013.7.1207

Abstract

We study the number of nonzero coefficients of cyclotomic polynomials $Φ_{m}$ , 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/