Trace funcions and Galois invariant $p$-adic measures

Marian Vâjâitu, Alexandru Zaharescu

Type: Article

Publication Date: 2006-01-01

Citations: 8

DOI: https://doi.org/10.5565/publmat_50106_02

Abstract

Let p be a prime number, Qp the field of p-adic numbers, Q p a fixed algebraic closure of Qp, and Cp the completion of Q p with respect to the p-adic valuation.We study trace functions associated to p-adic measures defined on compact subsets of Cp which are invariant under the action of the Galois group G = Galcont(Cp/Qp).

Locations

Publicacions Matemàtiques - View
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+	Continuous automorphisms of transcendental closed subfields of $$\mathbb {C}_p$$ C p	2016	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	On the norm of Krasner analytic functions with applications to transcendence results	2015	Victor Alexandru C.C. Niţu Marian Vâjâitu Alexandru Zaharescu
+	On some modules associated with Galois orbits	2018	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
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+	Residual transcendental extensions of valuations, irreducible polynomials, and trace series over $p$-adic fields	2013	Alexandru Zaharescu
+	On the norm of the trace functions and applications	2013	Victor Alexandru Cosmin Constantin Nit Marián

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+	P-adic Analysis	1980	Neal Koblitz
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+	Transformation de Cauchyp-adique et alg�bre d'Iwasawa	1978	Daniel Barsky
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+	On Automorphisms of Local Fields	1969	Shankar Sen