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

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    • 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

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