Coleman, Robert F. Division values in local fields. (English) Zbl 0429.12010 Invent. Math. 53, 91-116 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 63 Documents MSC: 11S31 Class field theory; \(p\)-adic formal groups 14L05 Formal groups, \(p\)-divisible groups Keywords:division tower; Lubin-Tate formal group; Hilbert norm residue symbol PDF BibTeX XML Cite \textit{R. F. Coleman}, Invent. Math. 53, 91--116 (1979; Zbl 0429.12010) Full Text: DOI EuDML References: [1] [C] Coates, J., Wiles, A.: Onp-adicL-functions and Elliptic Units. Journal Australian Math. Soc., A,25, 1-25 (1978) · Zbl 0442.12007 [2] [F] Fontaine, J.M.: Corps de Séries Formelles et Extensions Galoisiennes des Corps Locaux, Séminaire de Théorie des Nombres de Grenoble, 28-38 (1971-72) [3] [Fr] Fröhlich, A.: Formal Groups, Lecture Notes in Mathematics, No. 74. Berlin: Springer-Verlag 1968 · Zbl 0177.04801 [4] [I1] Iwasawa, K.: Explicit Formulas for the Norm Residue Symbol. Jour. Math. Soc. Japan20, 151-164 (1964) · Zbl 0256.12013 [5] [I2] Iwasawa, K.: On Some Modules in the Theory of Cyclotomic Fields. Jour. Math. Soc. Japan20, 42-82 (1964) · Zbl 0125.29207 [6] [L] Lubin, J., Tate, J.: Formal Complex Multiplication in Local Fields. Ann. of Math.81, 380-387 (1965) · Zbl 0128.26501 [7] [W] Wiles, A.: Higher Explicit Reciprocity Laws. Ann. of Math.107, 235-254 (1978) · Zbl 0378.12006 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.