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JSC
2010
96views more  JSC 2010»
13 years 7 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
COLT
2000
Springer
14 years 25 days ago
Average-Case Complexity of Learning Polynomials
The present paper deals with the averagecase complexity of various algorithms for learning univariate polynomials. For this purpose an appropriate framework is introduced. Based o...
Frank Stephan, Thomas Zeugmann
JAT
2007
56views more  JAT 2007»
13 years 8 months ago
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
We present a generalization of multiple orthogonal polynomials of type I and type II, which we call multiple orthogonal polynomials of mixed type. Some basic properties are formul...
Evi Daems, Arno B. J. Kuijlaars
CORR
2007
Springer
173views Education» more  CORR 2007»
13 years 8 months ago
Computing modular polynomials in quasi-linear time
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Andreas Enge
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
14 years 22 days 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