Cyclotomic units and Greenberg’s conjecture for real quadratic fields-Reference-Cited by-同舟云学术

Cyclotomic units and Greenberg’s conjecture for real quadratic fields

Published:1996 Issue:215 Volume:65 Page:1339-1348
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Fukuda Takashi

Abstract

We give new examples of real quadratic fields k k for which the Iwasawa invariant λ 3 ( k ) \lambda _3(k) and μ 3 ( k ) \mu _3(k) are both zero by calculating cyclotomic units of real cyclic number fields of degree 18.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-215/S0025-5718-96-00730-2/S0025-5718-96-00730-2.pdf

Reference6 articles.

1. Iwasawa’s 𝜆-invariants of certain real quadratic fields;Fukuda, Takashi;Proc. Japan Acad. Ser. A Math. Sci.,1989

2. T. Fukuda and H. Taya, The Iwasawa 𝜆-invariants of ℤ_{𝕡}-extensions of real quadratic fields, Acta Arith. 69 (1995), 277–292.

3. On the Iwasawa invariants of totally real number fields;Greenberg, Ralph;Amer. J. Math.,1976

4. Sur les inverses des éléments dérivables dans un anneau abstrait;Hebroni, P.;C. R. Acad. Sci. Paris,1939

5. Lecture Notes in Mathematics;Mäki, Sirpa,1980

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