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math.NT2011
Gaussian Behavior in Generalized Zeckendorf Decompositions
Steven J. Miller, Yinghui Wang
A beautiful theorem of Zeckendorf states that every integer can be written uniquely as a sum of non-consecutive Fibonacci numbers ; Lekkerkerker proved that…
math.NT2010★ 37 cited
On the number of summands in Zeckendorf decompositions
Murat Kologlu, Gene Kopp, Steven J. Miller +1
Zeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. Once this has been shown, it's natural to ask how many summ…
math.NT2010
From Fibonacci Numbers to Central Limit Type Theorems
Steven J. Miller, Yinghui Wang
A beautiful theorem of Zeckendorf states that every integer can be written uniquely as a sum of non-consecutive Fibonacci numbers . Lekkerkerker proved that…