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MOC
2000
94views more  MOC 2000»
13 years 5 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 9 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 9 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 9 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 9 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...