AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. In part I it was proved that {a(mn,k)|n≥1,k≥0}=Z, in the case when m is a prime power. In this paper we show that the result also holds true in the case when m is an arbitrary positive integer
Let m denote a squarefree number. Let fm(n) denote the number of partitions of n into parts that are...
AbstractIn this article, we study the cyclotomic polynomials of degree N−1 with coefficients restric...
Abstract. For a fixed prime p, the maximum coefficient (in absolute value) M(p) of the cyclotomic po...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. Ji, Li and Moree (2009) ...
AbstractLet an(k) be the coefficient of tk in the nth cyclotomic polynomialΦn(t)=∏j=1gcd(j,n)=1n(t−e...
We present several approaches on finding necessary and sufficient conditions on n so that Φk(xn) is ...
Let $\Phi\sb{n}(z)$ denote the $n$th cyclotomic polynomial, given by$$\Phi\sb{n}(z) = {\prod\limits\...
The factors of polynomials of the form x^n-1, called cyclotomic polynomials, have various properties...
AbstractLet Ψn(x) be the monic polynomial having precisely all non-primitive nth roots of unity as i...
Abstract. We present three algorithms to calculate Φn(z), the nth cyclo-tomic polynomial. The first ...
Cyclotomy is the process of dividing a circle into equal parts, which is precisely the effect obtain...
AbstractFor a given positive integer m and an algebraic number field K necessary and sufficient cond...
AbstractWe study coefficients of ternary cyclotomic polynomials Φpqr(z)=∏ρ(z−ρ), where p, q, and r a...
An explicit formula is obtained for the coefficients of the cyclotomic polynomial Fn(x), where n is ...
AbstractLet P(x) ≠ x be a monic irreducible polynomial with integer coefficients such that for infin...
Let m denote a squarefree number. Let fm(n) denote the number of partitions of n into parts that are...
AbstractIn this article, we study the cyclotomic polynomials of degree N−1 with coefficients restric...
Abstract. For a fixed prime p, the maximum coefficient (in absolute value) M(p) of the cyclotomic po...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. Ji, Li and Moree (2009) ...
AbstractLet an(k) be the coefficient of tk in the nth cyclotomic polynomialΦn(t)=∏j=1gcd(j,n)=1n(t−e...
We present several approaches on finding necessary and sufficient conditions on n so that Φk(xn) is ...
Let $\Phi\sb{n}(z)$ denote the $n$th cyclotomic polynomial, given by$$\Phi\sb{n}(z) = {\prod\limits\...
The factors of polynomials of the form x^n-1, called cyclotomic polynomials, have various properties...
AbstractLet Ψn(x) be the monic polynomial having precisely all non-primitive nth roots of unity as i...
Abstract. We present three algorithms to calculate Φn(z), the nth cyclo-tomic polynomial. The first ...
Cyclotomy is the process of dividing a circle into equal parts, which is precisely the effect obtain...
AbstractFor a given positive integer m and an algebraic number field K necessary and sufficient cond...
AbstractWe study coefficients of ternary cyclotomic polynomials Φpqr(z)=∏ρ(z−ρ), where p, q, and r a...
An explicit formula is obtained for the coefficients of the cyclotomic polynomial Fn(x), where n is ...
AbstractLet P(x) ≠ x be a monic irreducible polynomial with integer coefficients such that for infin...
Let m denote a squarefree number. Let fm(n) denote the number of partitions of n into parts that are...
AbstractIn this article, we study the cyclotomic polynomials of degree N−1 with coefficients restric...
Abstract. For a fixed prime p, the maximum coefficient (in absolute value) M(p) of the cyclotomic po...
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