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Mathematics of Computation

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The calculation of a large cubic class number with an application to real cyclotomic fields

Authors: Eric Seah, Lawrence C. Washington and Hugh C. Williams
Journal: Math. Comp. 41 (1983), 303-305
MSC: Primary 12A50; Secondary 12-04, 12A35
MathSciNet review: 701641
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Abstract: The class number of the cubic subfield of the pth cyclotomic field is calculated for the prime $p = 11290018777$. This is used to construct an example where the class number of the pth real cyclotomic field is larger than p.

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Article copyright: © Copyright 1983 American Mathematical Society