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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… Expand
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Highly Cited
2011
Highly Cited
2011
The computation of Feynman integrals in massive higher order perturbative calculations in renormalizable Quantum Field Theories… Expand
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2007
2007
Let a(n,k) be the kth coefficient of the nth cyclotomic polynomial. The first two authors showed in part I that if m is a prime… Expand
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2004
2004
Abstract.We develop a cyclotomic analogue of the theory of associators. Using a trigonometric version of the universal KZ… Expand
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2004
2004
We consider the family of CM-fields which are pro-p p-adic Lie extensions of number fields of dimension at least two, which… Expand
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1999
1999
As these n points on the circle are also the corners of a regular n-gon, the problem of cyclotomy is equivalent to the problem of… Expand
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1999
1999
We characterize all cyclotomic polynomials of even degree with coefficients restricted to the set {+1, −1}. In this context a… Expand
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1995
1995
A formula for Resx(ca(xb), (D(xd)) is given where Da(x) denotes the ath cyclotomic polynomial. This extends a result of Lehmer… Expand
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1985
1985
This paper discusses some new integer factoring methods involving cyclotomic polynomials. There are several polynomials f(X… Expand
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1979
1979
In this paper, we consider a broad generalization of a problem which first appeared in Scientific American. The original problem… Expand
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1946
1946
For n < 105 all coefficients of F,(X) are zb 1 or 0. For n = 105, the coefficient 2 occurs for the first time. Denote by A, the… Expand
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