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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/125/02/0139-0147

    • Keywords

       

      Erdős–Wood’s conjecture; exponential diophantine equations.

    • Abstract

       

      In this article, we prove that infinite number of integers satsify Erdős–Woods conjecture. Moreover, it follows that the number of natural numbers $\leq x$ satisfies Erdős–Woods conjecture with 𝑘 = 2 is at least 𝑐𝑥/(log 𝑥) for some positive constant 𝑐 > 2.

    • Author Affiliations

       

      S Subburam1 R Thangadurai2

      1. Institute of Mathematical Sciences, C.I.T. Campus, 4th Cross Street, Taramani, Chennai 600 113, India
      2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India

    • Dates

       
      Published
      May 2015
      Manuscript received
      20 August 2013

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