Gillard, Roland Unités cyclotomiques, unités semilocales et \(\mathbb{Z}_\ell\)-extensions. II. (French) Zbl 0403.12006 Ann. Inst. Fourier 29, No. 4, 1-15 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 19 Documents MSC: 11R18 Cyclotomic extensions 11R27 Units and factorization 11R32 Galois theory Keywords:abelian real field; group of units; cyclotomic unit; Galois group Citations:Zbl 0387.12002; Zbl 0125.292 PDFBibTeX XMLCite \textit{R. Gillard}, Ann. Inst. Fourier 29, No. 4, 1--15 (1979; Zbl 0403.12006) Full Text: DOI Numdam EuDML References: [1] [1] , Éléments de mathématique, Algèbre commutative, Chap. 7, Hermann, Paris, 1965. · Zbl 0141.03501 [2] [2] , p-adic L-functions and Iwasawa’s theory, Durham conference on Algebraic Number Theory, edited by A. Fröhlich, Academic Press, Londres, 1977. · Zbl 0393.12027 [3] [3] et , On l-adic zeta functions, Ann. of Math., 98 (1973), 498-550. · Zbl 0279.12005 [4] [4] et , On p-adic L-functions and elliptic units, J. Austral. Math. Soc., series A 26 (1978), 1-25. · Zbl 0442.12007 [5] [5] , Some modules attached to Lubin-Tate groups, à paraître. · Zbl 1188.11063 [6] [6] , Iwasawa invariants of abelian number fields, Math. Ann., 234 (1978), 9-24. · Zbl 0347.12004 [7] [7] et , The Iwasawa invariant µp vanishes for abelian number fields, Ann. of Math., à paraître. · Zbl 0443.12001 [8] [8] , Unités cyclotomiques, unités semi-locales et Zl-extensions, Ann. Inst. Fourier, t. 29, fasc. 1 (1979), 49-79. · Zbl 0387.12002 [9] [9] , Remarques sur les unités cyclotomiques et les unités elliptiques, J. of Numbers Theory, 11, 1 (1979), 21-48. · Zbl 0405.12008 [10] [10] , On p-adic L-functions and cyclotomic fields, Nagoya Math. J., 56 (1974), 61-77. · Zbl 0315.12008 [11] [11] , On p-adic L-functions and cyclotomic fields II, Nagoya Math. J., 67 (1977), 139-158. · Zbl 0373.12007 [12] [12] , On 2-adic L-functions and cyclotomic invariants, Math. Zeit., 159 (1978), 37-45. · Zbl 0354.12014 [13] [13] , On some modules in the theory of cyclotomic fields, J. Math. Soc. Japan, vol. 16, n° 1, (1964), 42-82. · Zbl 0125.29207 [14] [14] , On Zl-extensions of algebraic number fields, Ann. of Math., 98 (1973), 246-326. · Zbl 0285.12008 [15] [15] , Lectures on p-adic L-functions, Ann. Math. Studies, 74, Princeton Univ. Press, 1972. · Zbl 0236.12001 [16] [16] , Cyclotomic fields, Springer Verlag, 1978. · Zbl 0395.12005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.