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2005 The Iwasawa invariants and the higher K-groups associated to real quadratic fields
Hiroki Sumida-Takahashi
Experiment. Math. 14(3): 307-316 (2005).

Abstract

Using fast algorithms, we compute the Iwasawa invariants of {\small $\Bbb{Q}(\sqrt{f},\zeta_p)$} in the range {\small $1 < f < 200$} and {\small $3 \le p < 100,000$}. From these computational results, we obtain concrete information on the higher {\small $K$}-groups of the ring of integers of {\small $\Bbb{Q}(\sqrt{f})$}.

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Hiroki Sumida-Takahashi. "The Iwasawa invariants and the higher K-groups associated to real quadratic fields." Experiment. Math. 14 (3) 307 - 316, 2005.

Information

Published: 2005
First available in Project Euclid: 3 October 2005

zbMATH: 1082.11071
MathSciNet: MR2172709

Subjects:
Primary: 11R23 , 11R70

Keywords: Greenberg's conjecture , Iwasawa invariant , K-group , Vandiver's conjecture

Rights: Copyright © 2005 A K Peters, Ltd.

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