×
Ferrero, Bruce; Washington, Lawrence C.

The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields. (English) Zbl 0443.12001

Ann. Math. (2) 109, 377-395 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0443.12001

Cited in 20 Reviews
Cited in 174 Documents

MSC:

11R18 Cyclotomic extensions
11R34 Galois cohomology
11R23 Iwasawa theory
11S40 Zeta functions and \(L\)-functions
11K06 General theory of distribution modulo \(1\)
11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.

Keywords:

abelian number fields; cyclotomic Zp-extension; Iwasawa conjecture

Citations:

Zbl 0281.12005; Zbl 0369.12001; Zbl 0347.12004; Zbl 0084.041; Zbl 0435.12001
PDF BibTeX XML Cite
\textit{B. Ferrero} and \textit{L. C. Washington}, Ann. Math. (2) 109, 377--395 (1979; Zbl 0443.12001)
Full Text: DOI