منابع مشابه
Factorizations of Certain Bivariate Polynomials
We determine the factorization of Xf(X) − Y g(Y ) over K[X, Y ] for all squarefree additive polynomials f, g ∈ K[X] and all fields K of odd characteristic. This answers a question of Kaloyan Slavov, who needed these factorizations in connection with an algebraic-geometric analogue of the Kakeya problem.
متن کاملIrreducible Quartic Polynomials with Factorizations modulo p
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متن کاملExplicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, of the cyclotomic polynomials of order 3 · 2, the Dickson polynomials of the first kind of order 3 · 2 and the Dickson polynomials of the second kind of order 3 · 2 − 1.
متن کاملExplicit factorizations of cyclotomic polynomials over finite fields
In this paper, we make an attempt to study the explicit factorization of 2.7-th cyclotomic polynomials over finite field Fq when q ≡ 1(mod 4) into a product of distinct monic irreducible polynomials, where q is a power of an odd prime. AMS Subject Classification: 11T06, 11T22, 12Y05
متن کاملQuadratic Linear Algebras Associated with Factorizations of Noncommutative Polynomials and Noncommutative Differential Polynomials
We study certain quadratic and quadratic linear algebras related to factorizations of noncommutative polynomials and differential polynomials. Such algebras possess a natural derivation and give us a new understanding of the nature of noncommutative symmetric functions. Introduction Let x1, . . . , xn be the roots of a generic polynomial P (x) = x n + a1x n−1 + · · ·+ an over a division algebra...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1974
ISSN: 0022-314X
DOI: 10.1016/0022-314x(74)90029-8