منابع مشابه
Power Series and p-adic Algebraic Closures
In a previous paper [3], the author gave an explicit description of the algebraic closure of the power series field over a field of characteristic p > 0, in terms of certain “generalized power series”. The purpose of the present paper is to extend this work to mixed characteristic. Specifically, we give an analogous description of the algebraic closure of the Witt ring W (K) of an algebraically...
متن کاملON p-ADIC POWER SERIES
We obtained the region of convergence and the summation formula for some modified generalized hypergeometric series (1.2). We also investigated rationality of the sums of the power series (1.3). As a result the series (1.4) cannot be the same rational number in all Zp. 1991 Mathematics Subject Classification: 40A30,40D99
متن کاملZariski Dense Subgroups of Semisimple Algebraic Groups with Isomorphic p-adic Closures
We prove under certain natural conditions the finiteness of the number of isomorphism classes of Zariski dense subgroups in semisimple groups with isomorphic p-adic closures.
متن کاملOn the p-adic Leopoldt Transform of a power series
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متن کاملOn the p-adic Leopoldt transform of a power series
On the p-adic Leopoldt transform of a power series BrunoAngì es 1 Let p be an odd prime number. Let X be the projective limit for the norm maps of the p-Sylow subgroups of the ideal class groups of Q(ζ p n+1), n ≥ 0. Let ∆ = Gal(Q(ζ p)/Q) and let θ be an even and non-trivial character of ∆. Then X is a Z p [[T ]]-module and the characteristic ideal of the isotypic component X(ωθ −1) is generate...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2001
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2630