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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Class groups of number fields: numerical heuristics

Authors: H. Cohen and J. Martinet
Journal: Math. Comp. 48 (1987), 123-137
MSC: Primary 11R29; Secondary 11Y40
MathSciNet review: 866103
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Abstract: Extending previous work of H. W. Lenstra, Jr. and the first author, we give quantitative conjectures for the statistical behavior of class groups and class numbers for every type of field of degree less than or equal to four (given the signature and the Galois group of the Galois closure). The theoretical justifications for these conjectures will appear elsewhere, but the agreement with the existing tables is quite good.

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Keywords: Class group, class number, number field, zeta function
Article copyright: © Copyright 1987 American Mathematical Society