AbstractLet an(k) be the coefficient of tk in the nth cyclotomic polynomialΦn(t)=∏j=1gcd(j,n)=1n(t−e2πjin). Let M(k)=limx→∞1x∑n⩽xan(k) be the average of an(k), as introduced by Möller, and let fk=π26M(k)k∏q⩽kqprime(q+1). It was asked by Y. Gallot, P. Moree and H. Hommersom if the fk are integers for all k. In this paper, we prove that this is so. We further show that for any fixed natural number N, fk contains N as a factor for sufficiently large k
AbstractIt is customary to define a cyclotomic polynomial Φn(x) to be ternary if n is the product of...
AbstractWe study coefficients of ternary cyclotomic polynomials Φpqr(z)=∏ρ(z−ρ), where p, q, and r a...
An algorithm is described that determines whether a given polynomial with integer coefficients has a...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. Ji, Li and Moree (2009) ...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. In part I it was proved ...
Let $\Phi\sb{n}(z)$ denote the $n$th cyclotomic polynomial, given by$$\Phi\sb{n}(z) = {\prod\limits\...
Cyclotomy is the process of dividing a circle into equal parts, which is precisely the effect obtain...
The factors of polynomials of the form x^n-1, called cyclotomic polynomials, have various properties...
Wydział Matematyki i InformatykiW rozprawie doktorskiej zostały przedstawione wyniki autora dotycząc...
Abstract. We present three algorithms to calculate Φn(z), the nth cyclo-tomic polynomial. The first ...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
gcd(j,n)=1 x − e2πj i/n ϕ(n)X k=0 an(k)xk denote the nth cyclotomic polynomial, where ϕ(n) is Euler’...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
For odd square-free n ? 1 the cyclotomic polynomial \Phi n (x) satisfies the identity of Gauss 4\Phi...
A note about the cyclotomic polynomial pg ()and some related results ZHU Feng—xiang QI Wen-feng Abst...
AbstractIt is customary to define a cyclotomic polynomial Φn(x) to be ternary if n is the product of...
AbstractWe study coefficients of ternary cyclotomic polynomials Φpqr(z)=∏ρ(z−ρ), where p, q, and r a...
An algorithm is described that determines whether a given polynomial with integer coefficients has a...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. Ji, Li and Moree (2009) ...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. In part I it was proved ...
Let $\Phi\sb{n}(z)$ denote the $n$th cyclotomic polynomial, given by$$\Phi\sb{n}(z) = {\prod\limits\...
Cyclotomy is the process of dividing a circle into equal parts, which is precisely the effect obtain...
The factors of polynomials of the form x^n-1, called cyclotomic polynomials, have various properties...
Wydział Matematyki i InformatykiW rozprawie doktorskiej zostały przedstawione wyniki autora dotycząc...
Abstract. We present three algorithms to calculate Φn(z), the nth cyclo-tomic polynomial. The first ...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
gcd(j,n)=1 x − e2πj i/n ϕ(n)X k=0 an(k)xk denote the nth cyclotomic polynomial, where ϕ(n) is Euler’...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
For odd square-free n ? 1 the cyclotomic polynomial \Phi n (x) satisfies the identity of Gauss 4\Phi...
A note about the cyclotomic polynomial pg ()and some related results ZHU Feng—xiang QI Wen-feng Abst...
AbstractIt is customary to define a cyclotomic polynomial Φn(x) to be ternary if n is the product of...
AbstractWe study coefficients of ternary cyclotomic polynomials Φpqr(z)=∏ρ(z−ρ), where p, q, and r a...
An algorithm is described that determines whether a given polynomial with integer coefficients has a...
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