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ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
ISSAC
2009
Springer
164views Mathematics» more  ISSAC 2009»
13 years 11 months ago
A skew polynomial approach to integro-differential operators
Georg Regensburger, Markus Rosenkranz, Johannes Mi...
ISSAC
2009
Springer
161views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Lower bounds for zero-dimensional projections
W. Dale Brownawell, Chee K. Yap
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
13 years 11 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
13 years 11 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
13 years 11 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
ISSAC
2009
Springer
120views Mathematics» more  ISSAC 2009»
13 years 11 months ago
A non-holonomic systems approach to special function identities
We extend Zeilberger’s approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals...
Frédéric Chyzak, Manuel Kauers, Brun...
ISSAC
2009
Springer
157views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Solutions of polynomial systems derived from the steady cavity flow problem
Martin Mevissen, Kosuke Yokoyama, Nobuki Takayama