Browsing by Subject "p-adic valuation"

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  • On Diophantine Equations Related to Order of Appearance in Fibonacci Sequence 
    Trojovský, Pavel (MDPI-Molecular diversity preservation international, 2019)
    Let Fn be the n-th Fibonacci number. Order of appearance z(n) of a natural number n is defined as smallest natural number k, such that n divides Fk. In 1930, Lehmer proved that all solutions of equation z(n)=n+/-1 are prime ...
  • On Periodic Points of the Order of Appearance in the Fibonacci Sequence 
    Trojovská, Eva (MDPI-Molecular diversity preservation international, 2020)
    Let (F-n)(n >= 0) be the Fibonacci sequence. The order of appearance z(n) of an integer n >= 1 is defined by z (n) = min{k >= 1 : n vertical bar F-k}. Marques, and Somer and Krizek proved that all fixed points of the ...

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