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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/115/02/0117-0126

    • Keywords

       

      Composition of polynomials; irreducibility results

    • Abstract

       

      We obtain explicit upper bounds for the number of irreducible factors for a class of compositions of polynomials in several variables over a given field. In particular, some irreducibility criteria are given for this class of compositions of polynomials.

    • Author Affiliations

       

      Anca Iuliana Bonciocat1 2 Alexandru Zaharescu3

      1. Universität Bonn, Institut für Angewandte Mathematik, Abt. für Stochastik, Bonn, Wegelerstr. 6 - 53115, Deutschland
      2. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest - RO-70700, Romania
      3. Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, IL - 61801, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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