The relative class numbers of imaginary cyclic fields of degrees $4,\;6,\;8,$ and $10$
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- by Kurt Girstmair PDF
- Math. Comp. 61 (1993), 881-887 Request permission
Abstract:
We express the relative class number of an imaginary abelian number field K of prime power conductor as a sort of Maillet determinant. Thereby we obtain explicit relative class number formulas for fields K of conductor p, $p \geq 3$ prime, and degree $2d = [K:\mathbb {Q}] \leq 10$, in terms of sums of 2d-power residues. In particular, tables are given for $p \leq 10000$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Math. Comp. 61 (1993), 881-887
- MSC: Primary 11R29; Secondary 11R18, 11R20, 11Y40
- DOI: https://doi.org/10.1090/S0025-5718-1993-1195428-3
- MathSciNet review: 1195428