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    • On the Zeros of a Polynomial

      V K Jain

      Volume 119 Issue 1 February 2009 pp 37-43

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/01/0037-0043

    • Keywords

       

      Upper bound; 𝑝 zeros of smallest moduli; refinement; Eneström–Kakeya theorem.

    • Abstract

       

      For a polynomial of degree 𝑛, we have obtained an upper bound involving coefficients of the polynomial, for moduli of its 𝑝 zeros of smallest moduli, and then a refinement of the well-known Eneström–Kakeya theorem (under certain conditions).

    • Author Affiliations

       

      V K Jain1

      1. Mathematics Department, Indian Institute of Technology, Kharagpur 721 302, India

    • Dates

       
      Published
      February 2009
      Manuscript received
      20 June 2007
      Manuscript revised
      10 March 2008

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