ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS

• ICHIMURA HUMIO

  DEPARTMENT OF MATHEMATICS YOKOHAMA CITY UNIVERSITY

• SUMIDA HIROKI

  FACULTY OF INTEGRATED ARTS AND SCIENCES HIROSHIMA UNIVERSITY

Abstract

For any totally real number field k and any prime number p, the Iwasawa lambda-invariant and the mu-invariant are conjectured to be both zero. We give a new efficient method to verify this conjecture for certain real abelian fields. The new features of our method compared with other existing ones are that we use effectively cyclotomic units and that we introduce a new way to apply p-adic L-functions to the conjecture.

Journal

• Tohoku Mathematical Journal, Second Series

  Tohoku Mathematical Journal, Second Series 49 (2), 203-215, 1997

  Mathematical Institute, Tohoku University

Keywords

• General Mathematics

Details

• CRID: 1390282680091449216
• NII Article ID: 110000026800
• NII Book ID: AA00863953
• DOI: 10.2748/tmj/1178225147
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 1447182
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed