• On solutions of the diophantine equation $F_{n} − F_{m} = 3^{a}$

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      https://www.ias.ac.in/article/fulltext/pmsc/129/05/0081

    • Keywords

       

      Diophantine equation; lower bounds; logarithmic method

    • Abstract

       

      In this paper, we find non-negative ($n, m, a$) integer solutions of thediophantine equation $F_{n} − F_{m} = 3^{a}$, where $Fn$ and $Fm$ are Fibonacci numbers. For proving our theorem, we use lower bounds in linear forms.

    • Author Affiliations

       

      BAHAR DEMIRTÜRK BITIM1 REFIK KESKIN2

      1. Department of Fundamental Sciences, Izmir Bakırçay University, Izmir, Turkey
      2. Department of Mathematics, Sakarya University, Adapazarı, Turkey
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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