• On the equationx(x +d1)…(x + (k - 1)d1) =y(y +d2)…(y + (mk - 1)d2)

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0001-0012

    • Keywords

       

      Exponential diophantine equations; arithmetic-geometric mean

    • Abstract

       

      For given positive integersm ≥ 2,d1 andd2, we consider the equation of the title in positive integersx, y andk ≥ 2. We show that the equation implies thatk is bounded. For a fixedk, we give conditions under which the equation implies that max(x, y) is bounded.

    • Author Affiliations

       

      N Saradha1 T N Shorey1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.