On Greenberg's conjecture on a certain real quadratic field
Mizusawa, Yasushi
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 163-164 / Harvested from Project Euclid
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In this paper, we prove by using Ichimura-Sumida criterion the vanishing of the Iwasawa $\lambda_3$-invariant of the real quadratic field $\mathbf{Q}(\sqrt{39345017} )$. We use also the fact that the field has the infinite 3-class field tower.
Publié le : 2000-12-14
Classification:  Iwasawa invariant,  class field tower,  real quadratic field,  11R23,  11R11,  11Y40 
@article{1148393403,
     author = {Mizusawa, Yasushi},
     title = {On Greenberg's conjecture on a certain real quadratic field},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 163-164},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393403}
}

Mizusawa, Yasushi. On Greenberg's conjecture on a certain real quadratic field. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  163-164. http://gdmltest.u-ga.fr/item/1148393403/