منابع مشابه
Some Results on the Field of Values of Matrix Polynomials
In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied. Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of ...
متن کاملderivations with power values on multilinear polynomials
a polynomial 1 2 ( , , , ) n f x x x is called multilinear if it is homogeneous and linear in every one of its variables. in the present paper our objective is to prove the following result: let r be a prime k-algebra over a commutative ring k with unity and let 1 2 ( , , , ) n f x x x be a multilinear polynomial over k. suppose that d is a nonzero derivation on r such that ...
متن کاملOn Mean Values of Dirichlet Polynomials
We show the following general lower bound valid for any positive integer q, and arbitrary reals φ1, . . . , φN and non-negative reals a1, . . . , aN , cq ( N ∑ n=1 a 2 n )q ≤ 1 2T ∫
متن کاملOn Prime Values of Cyclotomic Polynomials
We present several approaches on finding necessary and sufficient conditions on n so that Φk(x ) is irreducible where Φk is the k-th cyclotomic polynomial.
متن کاملOn Symmetric Square Values of Quadratic Polynomials
We prove that there does not exist a non-square quadratic polynomial with integer coefficients and an axis of symmetry which takes square values for N consecutive integers for N = 7 or N ≥ 9. At the opposite, if N ≤ 6 or N = 8 there are infinitely many.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1939
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1939-07038-9