Class groups of number fields: numerical heuristics

Cohen, H.; Martinet, J.

doi:10.1090/S0025-5718-1987-0866103-4

Class groups of number fields: numerical heuristics
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by H. Cohen and J. Martinet PDF

Math. Comp. 48 (1987), 123-137 Request permission

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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