• Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Trace function; divisors; minimal polynomial; critical function.

    • Abstract


      In [4] we have introduced a new distance between Galois orbits over $\mathbb{Q}$. 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].

    • Author Affiliations


      B Petracovici1 L Petracovici1 A Zaharescu2

      1. Department of Mathematics, Western Illinois University, Macomb, IL 61455, USA
      2. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
    • Dates

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2023-2024 Indian Academy of Sciences, Bengaluru.