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math.NT2013★ 52 cited
Generalizing Zeckendorf's Theorem to f-decompositions
Philippe Demontigny, Thao Do, Archit Kulkarni +3
A beautiful theorem of Zeckendorf states that every positive integer can be uniquely decomposed as a sum of non-consecutive Fibonacci numbers , where , …
math.NT2013
A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior
Philippe Demontigny, Thao Do, Archit Kulkarni +2
A natural generalization of base B expansions is Zeckendorf's Theorem: every integer can be uniquely written as a sum of non-consecutive Fibonacci numbers , with $F_{n+1}…