On the height of cyclotomic polynomials
Bartłomiej Bzdęga (2012)
Acta Arithmetica
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Displaying similar documents to “Coefficients of a relative of cyclotomic polynomials”
On the height of cyclotomic polynomials
Corrigendum to the paper "An extension of a result of C. J. Smyth to polynomials in several variables" Acta Arith. 50 (1988), 211-214
A. Bazylewicz (1992)
Acta Arithmetica
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On page 211, line 9, and on page 213, line -6, the assumption should be added that F is not the product of generalized cyclotomic polynomials.
On cyclotomic polynomials with coefficients.
Borwein, Peter, Choi, Kwok-Kwong Stephen (1999)
Experimental Mathematics
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Reciprocal Stern Polynomials
A. Schinzel (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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A partial answer is given to a problem of Ulas (2011), asking when the nth Stern polynomial is reciprocal.
On ternary inclusion-exclusion polynomials.
Bachman, Gennady (2010)
Integers
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Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros
James McKee, Chris Smyth (2013)
Open Mathematics
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We give a complete classification of all pairs of cyclotomic polynomials whose zeros interlace on the unit circle, making explicit a result essentially contained in work of Beukers and Heckman. We show that each such pair corresponds to a single polynomial from a certain special class of integer polynomials, the 2-reciprocal discbionic polynomials. We also show that each such pair also corresponds (in four different ways) to a single Pisot polynomial from a certain restricted class,...
On polynomials taking small values at integral arguments II
Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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On a question of Lehmer
E. Dobrowolski (1980)
Mémoires de la Société Mathématique de France
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On Rolle's theorem for polynomials over the complex numbers.
Gallardo, Luis H. (2006)
Applied Mathematics E-Notes [electronic only]
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Values of cyclotomic polynomials at roots of unity.
R.P. Kurshan, A.M. Odlyzoko (1981)
Mathematica Scandinavica
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On an equation in cyclotomic numbers
Roberto Dvornicich (2001)
Acta Arithmetica
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Mahler's measure of a polynomial in terms of the number of its monomials
Edward Dobrowolski (2006)
Acta Arithmetica
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Flat cyclotomic polynomials of order four and higher.
Kaplan, Nathan (2010)
Integers
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Some results on biorthogonal polynomials.
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Heights of powers of Newman and Littlewood polynomials
Artāras Dubickas (2007)
Acta Arithmetica
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A unified class of polynomials.
Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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On Roots of Polynomials and Algebraically Closed Fields
Christoph Schwarzweller (2017)
Formalized Mathematics
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In this article we further extend the algebraic theory of polynomial rings in Mizar [1, 2, 3]. We deal with roots and multiple roots of polynomials and show that both the real numbers and finite domains are not algebraically closed [5, 7]. We also prove the identity theorem for polynomials and that the number of multiple roots is bounded by the polynomial’s degree [4, 6].
Some class of polynomial hypergroups
Wojciech Młotkowski (2006)
Banach Center Publications
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We provide explicit formulas for linearizing coefficients for some class of orthogonal polynomials.