164 search results - page 3 / 33 » On Class Group Computations Using the Number Field Sieve |
MOC
1998
13 years 8 months ago
1998
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...
ANTS
2010
Springer
13 years 12 months ago
2010
Springer
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
JOC
2011
13 years 3 months ago
2011
We present an algorithm for solving the discrete logarithm problem in Jacobians of families of plane curves whose degrees in X and Y are low with respect to their genera. The fin...
MOC
2002
13 years 8 months ago
2002
Abstract. In this paper, we are interested in solving the so-called norm equation NL/K(x) = a, where L/K is a given arbitrary extension of number fields and a a given algebraic num...
ANTS
1998
Springer
14 years 23 days ago
1998
Springer
In this note we address the question whether for a given prime number p, the zeta-function of a number field always determines the p-part of its class number. The answer is known t...