搜索结果: 61-75 共查到“理学 A-POLYNOMIAL”相关记录169条 . 查询时间(0.589 秒)
Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
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2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...
Modular absolute decomposition of equidimensional polynomial ideals
Modular absolute decomposition equidimensional polynomial ideals
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2011/2/25
In this paper, we present a modular strategy which describes key properties of the absolute
primary decomposition of an equidimensional polynomial ideal defined by polynomials with rational coefficie...
Igusa's p-adic local zeta function associated to a polynomial mapping and a polynomial integration measure
Igusa's p-adic local zeta function associated polynomial mapping polynomial integration measure
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2011/2/25
For p prime, we give an explicit formula for Igusa’s local zeta function associated to a polynomial mapping f = (f1, . . . , ft) : Qn p ! Qt p,with f1, . . . , ft 2 Zp[x1, . . . , xn], and an integrat...
Polynomial identity rings as rings of functions, II
Polynomial identity ring central simple algebra trace ring
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2011/1/18
In characteristic zero, Zinovy Reichstein and the author generalized the usual relationship between irreducible Zariski closed subsets of the affine space.
The SL_3 Jones polynomial of the trefoil: a case study of $q$-holonomic recursions
The SL_3 Jones polynomial $q$-holonomic recursions
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2010/12/27
The SL_3 colored Jones polynomial of the trefoil knot is a $q$-holonomic sequence of two variables with natural origin, namely quantum topology. The paper presents an explicit set of generators for th...
Non-linear Group Actions with Polynomial Invariant Rings and a Structure Theorem for Modular Galois Extensions
Non-linear Group Polynomial Invariant Rings
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2010/11/24
Let $G$ be a finite $p$-group and $k$ a field of characteristic $p>0$. We show that $G$ has a \emph{non-linear} faithful action on a polynomial ring $U$ of dimension $n=\mathrm{log}_p(|G|)$ such that...
Extremal Sparse Polynomial Systems Over Local Fields
Extremal Sparse Polynomial Systems Local Fields
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2010/11/23
Consider a system F of n polynomials in n variables, with a total of n+k distinct exponent vectors, over any local field L of characteristic 0. We discuss conjecturally tight upper and lower bounds o...
Locally tame plane polynomial automorphisms
Locally plane polynomial automorphisms
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2010/11/9
For automorphisms of a polynomial ring in two variables over a domain R, we show that local tameness implies global tameness provided that every 2-generated invertible R-module is free. We give many e...
Limit cycle's uniqueness for second order O.D.E.'s polynomial in $\dot x$
Limit cycle's uniqueness O.D.E.'s polynomial
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2010/11/12
We prove a uniqueness result for limit cycles of the second order ODE $\ddot x + \sum_{j=1}^{J}f_{j}(x)\dot x^{j} + g(x) = 0$. We extend a uniqueness result proved in \cite{CRV}. The main tool applied...
A note on computational complexities of polynomial type
computational complexities polynomial type
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2010/11/18
We introduce a notion of a polynomial type complexity of a multivariate polynomial. We provide examples of polynomial type complexities, including the determinantal complexity. We present two algorit...
Polynomial estimates for c-functions on reductive symmetric spaces
Polynomial c-functions reductive symmetric spaces
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2010/11/8
The c-functions, related to a reductive symmetric space G/H and a fixed representation of a maximal compact subgroup K of G, are shown to satisfy polynomial bounds in imaginary directions.
On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields
The Characteristic Polynomial Frobenius Supersingular Abelian
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2010/11/15
In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,~2,~3,~4,~5,~6,~7$ over $\mathbb{F}_q$ whe...
Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball
Polynomial Sobolev Spaces Unit Sphere Unit Ball
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2010/11/18
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
Euler characteristic of the bifurcation set for a polynomial of degree 2 or 3
Euler characteristic the bifurcation set polynomial
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2010/11/11
Assume that the coefficients of a polynomial in a complex variable are Laurent polynomials in some complex parameters. The parameter space (a complex torus) splits into strata corresponding to differ...
An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem
the Polynomial Matrix Spectral Factorization Theorem
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2010/11/22
A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and lin...