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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Zeta functions do not determine class numbers


Authors: Bart de Smit and Robert Perlis
Journal: Bull. Amer. Math. Soc. 31 (1994), 213-215
MSC: Primary 11R42; Secondary 11R21, 11R29
MathSciNet review: 1260520
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1994-00520-8
PII: S 0273-0979(1994)00520-8
Keywords: Computational number theory, arithmetic equivalence
Article copyright: © Copyright 1994 American Mathematical Society