The relative class numbers of imaginary cyclic fields of degrees and
Author:
Kurt Girstmair
Journal:
Math. Comp. 61 (1993), 881-887, S25
MSC:
Primary 11R29; Secondary 11R18, 11R20, 11Y40
DOI:
https://doi.org/10.1090/S0025-5718-1993-1195428-3
MathSciNet review:
1195428
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Abstract | References | Similar Articles | Additional Information
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, prime, and degree
, in terms of sums of 2d-power residues. In particular, tables are given for
.
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1993-1195428-3
Article copyright:
© Copyright 1993
American Mathematical Society