Zeckendorf representation of multiplicative inverses modulo a fibonacci number

HIGHLIGHTS

  • who: Gessica Alecci from the Department of Mathematical Sciences, Politecnico di Torino, Corso Duca degli Abruzzi, Torino, Italy have published the research: Zeckendorf representation of multiplicative inverses modulo a Fibonacci number, in the Journal: (JOURNAL)
  • what: The authors determine the Zeckendorf representation of the of a modulo Fn for every fixed integer a u2265 and for all positive integers n with gcd(a Fn = the proof makes use of the so-called of real numbers.

SUMMARY

    Let (Fn )n≥1 be the sequence of Fibonacci numbers, which is defined by the . . .

     

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