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Some conjectures
on the maximal height of divisors of $x^n-1$
Nathan C. Ryan, Bryan C. Ward and Ryan Ward |
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Vol. 3 (2010), No. 4, 451–457
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Abstract |
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Define to be the largest height of a polynomial in dividing . We formulate a number of conjectures related to the value of when is of a prescribed form. Additionally, we prove a lower bound for . |
Keywords
cyclotomic polynomials, heights
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Mathematical Subject Classification 2000
Primary: 11C08, 11Y70, 12Y05
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Milestones
Received: 29 September 2010
Revised: 23 November 2010
Accepted: 1 December 2010
Published: 6 January 2011
Communicated by Kenneth S. Berenhaut
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Authors |
| Nathan C. Ryan | |
| Department of Mathematics Bucknell University Lewisburg, PA 17837 United States |
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| Bryan C. Ward | |
| Department of Mathematics Bucknell University Lewisburg, PA 17837 United States |
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| Ryan Ward | |
| Department of Mathematics Bucknell University Lewisburg, PA 17837 United States |
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| © 2010 MSP (Mathematical Sciences Publishers). |
