On conjugate product of complex polynomials
نویسندگان
چکیده
منابع مشابه
On Contravariant Product Conjugate Connections
Invariance properties for the covariant and contravariant connections on a Riemannian manifold with respect to an almost product structure are stated. Restricting to a distribution of the contravariant connections is also discussed. The particular case of the conjugate connection is investigated and properties of the extended structural and virtual tensors for the contravariant connections are ...
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For a fixed polyomial f ∈ Z[X], let ρk(N) denote the maximum size of a set A ⊂ {1, 2, . . . , N} such that no product of k distinct elements of A is in the value set of f . In this paper, we determine the asymptotic behaviour of ρk(N) for a wide class of polynomials. Our results generalize earlier theorems of Erdős, Sós and Sárközy.
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Let K be a field of characteristic 0, t a transcendental over K, and Γ be the absolute Galois group of K(t). Then two non-constant polynomials f, g ∈ K[X] are said to be Kronecker conjugate if an element of Γ fixes a root of f(X) − t if and only if it fixes a root of g(X) − t. If K is a number field, and f, g ∈ OK [X] where OK is the ring of integers of K, then f and g are Kronecker conjugate i...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2011
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.12.019