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» Computation of class numbers of quadratic number fields
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MOC
2002
103views more  MOC 2002»
13 years 10 months ago
Computation of class numbers of quadratic number fields
We explain how one can dispense with the numerical computation of approximations to the transcendental integral functions involved when computing class numbers of quadratic number ...
Stéphane Louboutin
MOC
2011
13 years 5 months ago
Class numbers of ray class fields of imaginary quadratic fields
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
Omer Kucuksakalli
MOC
1998
106views more  MOC 1998»
13 years 10 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan
ASIACRYPT
2003
Springer
14 years 4 months ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy
MOC
2002
109views more  MOC 2002»
13 years 10 months ago
The parallelized Pollard kangaroo method in real quadratic function fields
Abstract. We show how to use the parallelized kangaroo method for computing invariants in real quadratic function fields. Specifically, we show how to apply the kangaroo method to ...
Andreas Stein, Edlyn Teske