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Computation of $\lambda$-invariant

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We give an explicit formula for the computation of Iwasawa $\lambda$-invariants and an example of the computation using our method.

Abstract

We give an explicit formula for the computation of Iwasawa $\lambda$-invariants and an example of the computation using our method.

참고문헌 (7)

  1. K.Iwasawa, "On Zℓ-extensions of algebraic number fields", Ann. of math, 98(2), pp.246~326 (1973)
  2. B.Ferrero, "The Iwasawa invariant μp vanishes for abelian number fields", Ann. of Math, 109, pp.377~395 (1979)
  3. T.Fukuda, "Iwasawa λ-invariants of imaginary quadratic fields", J. of the College of Industrial Technology, Nihon Univ, 27(1), pp.35~86 (1994)
  4. T.Fukuda, "Iwasawa λ-invariants of imaginary quadratic fields, II", J. of the College of Industrial Technology, Nihon Univ, 27(2), pp.83~134 (1994)
  5. Y.Kida, "The λ-invariants of p-dic measures on Zp and 1 + qZp", Sci. Rep. Kanazawa Univ, 30, pp.33~38 (1986)
  6. J.Oh, "On the Iwasawa λ-invariants of imaginary quadratic fields", Proc. Japan Acad. Ser. A math. Sci, 75(3), pp.29~31 (1999)
  7. W.Sinnott, "On the μ-invariant of the Gamma-transform of a rational function", Invent. Math, 75, pp.273~282 (1984)

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