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Division values in local fields. (English) Zbl 0429.12010


MSC:

11S31 Class field theory; \(p\)-adic formal groups
14L05 Formal groups, \(p\)-divisible groups
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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 · doi:10.1017/S1446788700011459
[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 · doi:10.2969/jmsj/02010151
[5] [I2] Iwasawa, K.: On Some Modules in the Theory of Cyclotomic Fields. Jour. Math. Soc. Japan20, 42-82 (1964) · Zbl 0125.29207 · doi:10.2969/jmsj/01610042
[6] [L] Lubin, J., Tate, J.: Formal Complex Multiplication in Local Fields. Ann. of Math.81, 380-387 (1965) · Zbl 0128.26501 · doi:10.2307/1970622
[7] [W] Wiles, A.: Higher Explicit Reciprocity Laws. Ann. of Math.107, 235-254 (1978) · Zbl 0378.12006 · doi:10.2307/1971143
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