Zeta functions do not determine class numbers

de Smit, Bart; Perlis, Robert

doi:10.1090/S0273-0979-1994-00520-8

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Zeta functions do not determine class numbers
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by Bart de Smit and Robert Perlis PDF

Bull. Amer. Math. Soc. 31 (1994), 213-215 Request permission

Abstract:

We show that two number fields with the same zeta function, and even with isomorphic adele rings, do not necessarily have the same class number.

References

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