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» Isomorphisms of Algebraic Number Fields
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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
14 years 2 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
CIE
2006
Springer
13 years 11 months ago
On Graph Isomorphism for Restricted Graph Classes
Abstract. Graph isomorphism (GI) is one of the few remaining problems in NP whose complexity status couldn't be solved by classifying it as being either NP-complete or solvabl...
Johannes Köbler
CIE
2010
Springer
13 years 7 months ago
Computable Ordered Abelian Groups and Fields
Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
Alexander G. Melnikov
STOC
2005
ACM
138views Algorithms» more  STOC 2005»
14 years 7 months ago
Fast quantum algorithms for computing the unit group and class group of a number field
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
Sean Hallgren
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
13 years 11 months ago
Real Algebraic Closure of an Ordered Field: Implementation in Axiom
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
Renaud Rioboo