The Behaviour of Rigid Analytic Functions around Orbits of Elements of $\mathbb{C}_p$

Sever Achimescu, Victor Alexandru, Nicolae Popescu, Marian Vâjâitu, Alexandru Zaharescu

Type: Article

Publication Date: 2012-12-17

Citations: 3

DOI: https://doi.org/10.4171/rsmup/127-10

Abstract

Given a prime number p and the Galois orbit O(x) of an element x of \mathbb{C}_p , the topological completion of the algebraic closure of the field of p -adic numbers, we study the behavior of rigid analytic functions around orbits of elements of \mathbb{C}_p .

Locations

Rendiconti del Seminario Matematico della Università di Padova - View - PDF

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Works That Cite This (3)

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+	On the Zeros of Krasner Analytic Functions	2012	Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+	Integral Representations and the Behavior of Krasner Analytic Functions Around Singular Points	2012	Marian Vâjâitu
+	Residual transcendental extensions of valuations, irreducible polynomials, and trace series over $p$-adic fields	2013	Alexandru Zaharescu

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+	ON THE TRANSCENDENCE OF THE TRACE FUNCTION	2005	Victor Alexandru