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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/03/0351-0368

    • 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

       
      Published
      June 2009
      Manuscript received
      8 July 2008
      Manuscript revised
      25 September 2008

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