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Factorization of the Cyclotomic Polynomials Q2^(n+1)(x)
Algebra cyclotomic polynomial order of an integer Factorization theorem
2011/9/25
In this paper we study the factorization of the polynomials 1+x^(2^n)over a field K, which have the same form as the Fermat numbers . As we notice that 1+x^(2^n) is equal to the 2^(n+1)th cyclotomic p...
Factorization of the Cyclotomic Polynomials Qp^(n+1)(x)
Algebra cyclotomic polynomial order of an integer Factorization theorem
2011/9/25
In this paper we study the factorization of the p^(n+1)th cyclotomic polynomials Qp^(n+1)(x) over a field K for prime p>2 and integer n>=0. Our methodology to solve the problem is due to some conclusi...
Canonical Factorization of cyclotomic polynomials
algebra finite fields order of an integer cyclotomic polynomials factorization
2011/9/25
In this article, we studied the order of an integer q modulo integer m, and then studied the factorization of the mth cyclotomic polynomial over a field K. We discussed the order of q modulo m by the ...
Cyclotomic Polynomials and Factorization Theorems
algebra finite fields order of an integer cyclotomic polynomials factorization theorem
2011/9/24
Let Qm(x) be the mth cyclotomic polynomial over finite field Fq. The factorization of Qm(x^t) and f(x^t) over Fq are discussed, where t is an positive integer larger than one and f(x) is any irreducib...
On the number of factors in the unipotent factorization of holomorphic mappings into $\text{SL}_2(\mathbb{C})$
number of factors unipotent factorization of holomorphic $\text{SL}_2(\mathbb{C})$
2011/1/18
We estimate the number of unipotent elements needed to factor a null-homotopic holomorphic map from a finite dimensional reduced Stein spaces X into SL2(C) .