2 papers
math.NT2025
Fibonacci sequences in
Menny Aka
We prove a conjecture due to Gica (Fibonacci Quarterly, 2008). Our proof is simple, uses only elementary abstract algebra, and generalizes to other recursive sequences.
math.NT2018
Continued Fractions of Arithmetic Sequences of Quadratics
Menny Aka
Let x be a quadratic irrational and let P be the set of prime numbers. We show the existence of an infinite subset S of P such that the statistics of the period of the continued fr…