Sciweavers

15 search results - page 2 / 3
» Fast quantum algorithms for computing the unit group and cla...
Sort
View
ANTS
2006
Springer
118views Algorithms» more  ANTS 2006»
13 years 9 months ago
Computation of Locally Free Class Groups
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
Werner Bley, Robert Boltje
ANTS
2008
Springer
115views Algorithms» more  ANTS 2008»
13 years 7 months ago
Computing Hilbert Modular Forms over Fields with Nontrivial Class Group
In previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degr...
Lassina Dembélé, Steve Donnelly
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
14 years 5 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
SIAMCOMP
2010
100views more  SIAMCOMP 2010»
13 years 3 months ago
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the ...
Markus Kirschmer, John Voight
ICCV
2009
IEEE
13 years 3 months ago
Fast realistic multi-action recognition using mined dense spatio-temporal features
Within the field of action recognition, features and descriptors are often engineered to be sparse and invariant to transformation. While sparsity makes the problem tractable, it ...
Andrew Gilbert, John Illingworth, Richard Bowden