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» On the Degree of Univariate Polynomials Over the Integers
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87
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MOC
1998
98views more  MOC 1998»
14 years 11 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
FOCS
2004
IEEE
15 years 3 months ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
82
Voted
CIE
2009
Springer
15 years 6 months ago
Decidability of Sub-theories of Polynomials over a Finite Field
Abstract. Let Fq be a finite field with q elements. We produce an (effective) elimination of quantifiers for the structure of the set of polynomials, Fq[t], of one variable, in...
Alla Sirokofskich
JSC
2010
85views more  JSC 2010»
14 years 10 months ago
On the minimum of a positive polynomial over the standard simplex
We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of Rk , assuming that P is p...
Gabriela Jeronimo, Daniel Perrucci
90
Voted
LATIN
2010
Springer
15 years 6 months ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin