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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)
- K.Iwasawa, "On Zℓ-extensions of algebraic number fields", Ann. of math, 98(2), pp.246~326 (1973)
- B.Ferrero, "The Iwasawa invariant μp vanishes for abelian number fields", Ann. of Math, 109, pp.377~395 (1979)
- T.Fukuda, "Iwasawa λ-invariants of imaginary quadratic fields", J. of the College of Industrial Technology, Nihon Univ, 27(1), pp.35~86 (1994)
- 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)
- Y.Kida, "The λ-invariants of p-dic measures on Zp and 1 + qZp", Sci. Rep. Kanazawa Univ, 30, pp.33~38 (1986)
- J.Oh, "On the Iwasawa λ-invariants of imaginary quadratic fields", Proc. Japan Acad. Ser. A math. Sci, 75(3), pp.29~31 (1999)
- W.Sinnott, "On the μ-invariant of the Gamma-transform of a rational function", Invent. Math, 75, pp.273~282 (1984)
관련 논문AI추천
Lifting of the unramified Iwasawa module오장헌강원경기수학회 · 한국수학논문집2019 · 제27권 제3호On the reduction of an Iwasawa module오장헌강원경기수학회 · 한국수학논문집2021 · 제29권 제2호On the anticyclotomic $\mathbb Z_{p}$-extension of an imaginary quadratic field오장헌강원경기수학회 · 한국수학논문집2015 · 제23권 제3호On the lower layers of a $\mathbb Z_{p}$-extension오장헌강원경기수학회 · 한국수학논문집2022 · 제30권 제2호The behavior of the twisted $p$-adic $(h,q)$-$L$-functions at $s=0$Yilmaz Simsek대한수학회 · 대한수학회지2007 · 제44권 제4호A note on the first layers of Z_{p}-extensionsJangheon Oh대한수학회 · 대한수학회논문집2009 · 제24권 제1호
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