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Computing the Hilbert class field of real quadratic fields
Author(s):
Henri
Cohen;
Xavier-François
Roblot.
Journal:
Math. Comp.
69
(2000),
1229-1244.
MSC (1991):
Primary 11R37, 11R42;
Secondary 11Y35
Posted:
March 10, 1999
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Abstract:
Using the units appearing in Stark's conjectures on the values of -functions at , we give a complete algorithm for computing an explicit generator of the Hilbert class field of a real quadratic field.
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Additional Information:
Henri
Cohen
Affiliation:
Laboratoire A2X, Université Bordeaux I, 351 cours de la Libération, 33405 Talence Cedex, France
Email:
cohen@math.u-bordeaux.fr
Xavier-François
Roblot
Affiliation:
Laboratoire A2X, Université Bordeaux I, 351 cours de la Libération, 33405 Talence Cedex, France
Address at time of publication:
Department of Computer Science, Concordia University, 1455 de Maisonneuve Blvd West, Montreal, Quebec, H3G 1M8
Email:
roblot@cs.concordia.ca
DOI:
10.1090/S0025-5718-99-01111-4
PII:
S 0025-5718(99)01111-4
Received by editor(s):
January 19, 1998
Received by editor(s) in revised form:
September 10, 1998
Posted:
March 10, 1999
Copyright of article:
Copyright
2000,
American Mathematical Society
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