Browsing by Subject "order of appearance"

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  • Trojovský, Pavel (De Gruyter, 2019)
    In this paper, we study the Diophantine equation $u_n=R(m)P(m)^{Q(m)}$,where $R, P$ and $Q$ are some polynomials (under weak assumptions) and $u_n$ is a Lucas sequence, thus the sequence $(u_n)_{n\geq 0}$ with characteristic ...
  • 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 ...

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