On the Iwasawa invariants of certain real abelian fields

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概要

• 論文の詳細を見る

• 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.

• 東北大学の論文
• 1997-06-00

著者

• Sumida Hiroki

  Faculty Of Integrated Arts And Sciences Hiroshima University

• Ichimura Humio

  Department of Mathematics, Yokohama City University

• Ichimura Humio

  Department of Mathematics Yokohama City University

関連論文

• On the Iwasawa $了$-invariant of the Real $p$-cyclotomic Field
• Greenberg's conjecture and the Iwasawa polynomial
• On the Iwasawa invariants of certain real abelian fields
• On a normal integral based problem over cyclotomic Z_p-extensions

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