2 papers
math.NT2025
Properties of Multidimensional Vector Zeckendorf Representations
Ivan Bortnovskyi, June Duvivier, Pedro Espinosa +7
Zeckendorf's Theorem says that for all , every nonnegative integer has a unique -Zeckendorf representation as a sum of distinct -bonacci numbers, where no conse…
math.NT2025
General Recurrence Multidimensional Zeckendorf Representations
Jiarui Cheng, Steven J. Miller, Sebastian Rodriguez-Labastida +3
We present a multidimensional generalization of Zeckendorf's Theorem (any positive integer can be written uniquely as a sum of non-adjacent Fibonacci numbers) to a large family of…