Abstract
Let p be an odd prime. We shall give a criterion for p-divisibility of the class number of the w-th layer of a Zp-extension over a certain totally real number field by means of the value of the p-adic zeta function. We shall also discuss the capitulation in such a Zp-extension and a sufficient condition for the Iwasawa λ andπ-invariants of it to vanish.
Original language | English |
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Pages (from-to) | 431-435 |
Number of pages | 5 |
Journal | Tohoku Mathematical Journal |
Volume | 49 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1997 Jan 1 |
ASJC Scopus subject areas
- Mathematics(all)