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» Polynomial Factorization 1987-1991
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EJC
2008
13 years 7 months ago
Enumeration of almost polynomial rational functions with given critical values
1 Rational functions and minimal factorizations of permutations Let f : C C be a rational function of degree n in one complex variable. A critical point of f is a point z C such...
Dmitri Panov, Dimitri Zvonkine
CORR
2007
Springer
173views Education» more  CORR 2007»
13 years 7 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
SODA
1990
ACM
49views Algorithms» more  SODA 1990»
13 years 8 months ago
Factor Refinement
Let O be an order of an algebraic number field. It was shown by Ge that given a factorization of an O-ideal a into a product of O-ideals it is possible to compute in polynomial tim...
Eric Bach, James R. Driscoll, Jeffrey Shallit
EDBT
2008
ACM
111views Database» more  EDBT 2008»
14 years 7 months ago
Schema polynomials and applications
Conceptual complexity is emerging as a new bottleneck as data-base developers, application developers, and database administrators struggle to design and comprehend large, complex...
Kenneth A. Ross, Julia Stoyanovich
ECCC
2006
77views more  ECCC 2006»
13 years 7 months ago
Extractors and condensers from univariate polynomials
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
Venkatesan Guruswami, Christopher Umans, Salil P. ...