نتایج جستجو برای: sequence of key polynomials
تعداد نتایج: 21203868 فیلتر نتایج به سال:
One of the main goals this paper is to present relation between limit key polynomials and MacLane-Vaquié polynomials. This a continuation work started in [3], where equivalent result for (which are not limit) proved. Moreover, we (Theorem 1.1) that generalizes various results literature.
We prove that the sequence of MacLane key polynomials constructed in [7] and [3] for a valuation extension (K, ν) ⊂ (K(x), μ) is finite, provided that both ν and μ are divisorial and μ is centered over an analytically irreducible local domain (R,m) ⊂ K[x]. As a corollary, we prove Izumi’s theorem on comparison of divisorial valuations. We give explicit bounds for the Izumi constant in terms of ...
Given a well-ordered semi-group Γ with a minimal system of generators of ordinal type at most ωn 1 and of rational rank r, which satisfies a positivity and increasing condition, we construct a zero-dimensional valuation centered on the ring of polynomials with r variables such that the semigroup of the values of the polynomial ring is equal to Γ. The construction uses a generalization of Favre ...
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An extension of the Laplace transform obtained by using Laguerre-type exponentials is first shown. Furthermore, solution Blissard problem means Bell polynomials gives possibility to associate any numerical sequence a Laplace-type depending on that sequence. Computational techniques for corresponding analytic functions, involving polynomials, are derived.
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