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MOC
2000
94views more  MOC 2000»
13 years 7 months ago
Irreducibility testing over local fields
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in Q((x))[y], th...
P. G. Walsh
ISSAC
1990
Springer
65views Mathematics» more  ISSAC 1990»
13 years 11 months ago
Complexity of Irreducibility Testing for a System of Linear Ordinary Differential Equations
Let a system of linear ordinary differential equations of the first order Y' = AY be given, where A is n x n matrix over a field F(X), assume that the degree degx(A) < d a...
Dima Grigoriev
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 11 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
13 years 11 months ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan
FOCS
2004
IEEE
13 years 11 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...