On p-adic analytic continuation with applications to generating elements

Victor Alexandru, Marian Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review


Given a prime number p and the Galois orbit O(T) of an integral transcendental element T of Cp, the topological completion of the algebraic closure of the field of p-adic numbers, we study the p-adic analytic continuation around O(T) of functions defined by limits of sequences of restricted power series with p-adic integer coefficients. We also investigate applications to generating elements for Cp or for some classes of closed subfields of Cp.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalProceedings of the Edinburgh Mathematical Society
Issue number1
StatePublished - Feb 1 2016


  • generating elements
  • local fields
  • p-adic analytic functions

ASJC Scopus subject areas

  • Mathematics(all)


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