On the zeros and singularities of adic trace functions

Victor Alexandru, Marian Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Given a prime number p we consider (Formula presented.) 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 (Formula presented.).

Original languageEnglish (US)
JournalCommunications in Algebra
DOIs
StateAccepted/In press - 2020

Keywords

  • distributions
  • Krasner analytic functions
  • local fields

ASJC Scopus subject areas

  • Algebra and Number Theory

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