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A p-adic approach to solutions of a polynomial congruence modulo pα

Published online by Cambridge University Press:  26 February 2010

J. H. H. Chalk
J. H. H. Chalk
Affiliation:
Department of Mathematics, Imperial College, Huxley Building, 180 Queen's Gate, London, SW7 2BZ
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Extract

Let where a0≠0, m≥2, n = e1 + … + em and the ξi(1≤i≤m) are the distinct zeros of f in some algebraic closure of the p-adic field . Then K = (ξ1, ξ2, …, ξm) is a finite separable extension of and we denote by “ord” the unique extension of the (additive) p-adic valuation on to K, normalized with ord p = 1.

Type
Research Article
Information
Mathematika , Volume 37 , Issue 2 , December 1990 , pp. 209 - 216
Copyright
Copyright © University College London 1990

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References

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