Divisors, measures and critical functions

B. Petracovici, L. Petracovici, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review


In [4] we have introduced a new distance between Galois orbits over Q{double-struck}. Using generalized divisors, we have extended the notion of trace of an algebraic number to other transcendental quantities. In this article we continue the work started in [4]. We define the critical function for a class of transcendental numbers, that generalizes the notion of minimal polynomial of an algebraic number. Our results extend the results obtained by Popescu et al [5].

Original languageEnglish (US)
Pages (from-to)351-368
Number of pages18
JournalProceedings of the Indian Academy of Sciences: Mathematical Sciences
Issue number3
StatePublished - Jun 2009


  • Critical function
  • Divisors
  • Minimal polynomial
  • Trace function

ASJC Scopus subject areas

  • General Mathematics


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