Cyclotomic polynomial

Known as: Cyclotomic polynomials, Cyclotonic polynomial 
In mathematics, more specifically in algebra, the nth cyclotomic polynomial, for any positive integer n, is the unique irreducible polynomial with… (More)
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Topic mentions per year

1958-2017
051019582017

Papers overview

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2012
2012
We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology. 
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2008
2008
Let an(k) be the kth coefficient of the nth cyclotomic polynomial Φn(x). As n ranges over the integers, an(k) assumes only… (More)
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2008
2008
Abstract Elementary number theoretic properties of cyclotomic polynomials are a topic that has become very popular among olympiad… (More)
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2007
2007
We study Ducci-sequences using basic properties of cyclotomic polynomials over F2. We determine the period of a given Ducci… (More)
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2004
2004
For n<105 all coefficients of Fn(x) are ±1 or 0. For n = 10S, the coefficient 2 occurs for the first time. Denote by A w the… (More)
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2002
2002
The main object of study in this paper is the completion Z[q] = lim ←−n Z[q]/((1−q)(1−q) · · · (1−q)) of the polynomial ring Z[q… (More)
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1996
1996
The cyclotomic polynomial (CP) prefilter design problem is formulated as an optimization problem with linear objective functions… (More)
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1993
1993
We present an efficient FIR filter design algorithm that generalizes existing cascaded FIR prefilter-equalizer methods. We… (More)
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1992
1992
For odd square-free n > 1 the cyclotomic polynomial Φn(x) satisfies the identity of Gauss 4Φn(x) = An − (−1)(n−1)/2nB2 n. A… (More)
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1985
1985
This paper discusses some new integer factoring methods involving cyclotomic polynomials. There are several polynomials f(X… (More)
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