Heuristics on class groups: some good primes are not too good
Authors:
Henri Cohen and Jacques Martinet
Journal:
Math. Comp. 63 (1994), 329-334
MSC:
Primary 11R29; Secondary 11Y40
DOI:
https://doi.org/10.1090/S0025-5718-1994-1226813-X
MathSciNet review:
1226813
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Abstract | References | Similar Articles | Additional Information
Abstract: We correct some too optimistic predictions in an earlier paper of ours.
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- H. Cohen and J. Martinet, Class groups of number fields: numerical heuristics, Math. Comp. 48 (1987), no. 177, 123–137. MR 866103, DOI https://doi.org/10.1090/S0025-5718-1987-0866103-4
- Henri Cohen and Jacques Martinet, Étude heuristique des groupes de classes des corps de nombres, J. Reine Angew. Math. 404 (1990), 39–76 (French). MR 1037430
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- D. Ford, Enumeration of totally complex quartic fields of small discriminant, Computational number theory (Debrecen, 1989) de Gruyter, Berlin, 1991, pp. 129–138. MR 1151860
- Gilbert W. Fung and H. C. Williams, On the computation of a table of complex cubic fields with discriminant $D>-10^6$, Math. Comp. 55 (1990), no. 191, 313–325. MR 1023760, DOI https://doi.org/10.1090/S0025-5718-1990-1023760-X
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Additional Information
Keywords:
Class group,
class number,
number field
Article copyright:
© Copyright 1994
American Mathematical Society