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On the zeros and singularities of adic trace functions

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Abstract Given a prime number p we consider the topological completion of the algebraic closure of the field of p-adic numbers with respect to the usual p-adic absolute value. In… Click to show full abstract

Abstract Given a prime number p we consider the topological completion of the algebraic closure of the field of p-adic numbers with respect to the usual p-adic absolute value. In this paper, we point out new connections between zeros and singularities of the trace functions associated with arbitrary elements of

Keywords: adic trace; zeros singularities; singularities adic; trace functions

Journal Title: Communications in Algebra
Year Published: 2020

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