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The family of
ternary cyclotomic polynomials with one free prime
Yves Gallot, Pieter Moree and Robert Wilms
Vol. 4 (2011), No. 4, 317–341
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Abstract |
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A cyclotomic polynomial is said to be ternary if , with , and distinct odd primes. Ternary cyclotomic polynomials are the simplest ones for which the behavior of the coefficients is not completely understood. Here we establish some results and formulate some conjectures regarding the coefficients appearing in the polynomial family with , and fixed and a free prime. |
Keywords
ternary cyclotomic polynomial, coefficient
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Mathematical Subject Classification 2000
Primary: 11C08
Secondary: 11B83
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Milestones
Received: 21 July 2010
Revised: 19 July 2011
Accepted: 15 August 2011
Published: 21 March 2012
Communicated by Kenneth S. Berenhaut
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Authors |
| Yves Gallot | |
| 12 bis rue Perrey 31400 Toulouse France |
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| Pieter Moree | |
| Max-Planck-Institut für
Mathematik Vivatsgasse 7 D-53111 Bonn Germany |
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| Robert Wilms | |
| Sterbeckerstrasse 21 D-58579 Schalksmühle Germany |
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