G. Z. D. E. Moura

activity

20222026

most citedAn invitation to Fibonacci digits

1 citations · 1 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.CO2022

Towards the Gaussianity of Random Zeckendorf Games

Justin Cheigh, Guilherme Zeus Dantas e Moura, Ryan Jeong +4

Zeckendorf proved that any positive integer has a unique decomposition as a sum of non-consecutive Fibonacci numbers, indexed by $F_{1} = 1, F_{2} = 2, F_{n + 1} = F_{n} + F_{n - 1}$ . Motiva…

math.NT2022

Sum and Difference Sets in Generalized Dihedral Groups

Ruben Ascoli, Justin Cheigh, Guilherme Zeus Dantas e Moura +6

Given a group $G$ , we say that a set $A \subseteq G$ has more sums than differences (MSTD) if $∣ A + A ∣ > ∣ A - A ∣$ , has more differences than sums (MDTS) if $∣ A + A ∣ < ∣ A - A ∣$ , or is sum-d…

math.NT2022

Recurrence Relations for $S$ -Legal Index Difference Sequences

Guilherme Zeus Dantas e Moura, Andrew Keisling, Astrid Lilly +4

Zeckendorf's Theorem implies that the Fibonacci number $F_{n}$ is the smallest positive integer that cannot be written as a sum of non-consecutive previous Fibonacci numbers. Catral…

Towards the Gaussianity of Random Zeckendorf Games

Sum and Difference Sets in Generalized Dihedral Groups

Recurrence Relations for S-Legal Index Difference Sequences

Recurrence Relations for $S$ -Legal Index Difference Sequences