2 papers
math.NT2025
Integers Having in Both Zeckendorf And Chung-Graham Decompositions
Lucas Bustos, Hung Viet Chu, Minchae Kim +3
Zeckendorf's theorem states that every positive integer can be uniquely decomposed into nonadjacent Fibonacci numbers. On the other hand, Chung and Graham proved that every positiv…
math.GM2024
Fixed-Term Decompositions Using Even-Indexed Fibonacci Numbers
Hung Viet Chu, Aney Manish Kanji, Zachary Louis Vasseur
As a variant of Zeckendorf's theorem, Chung and Graham proved that every positive integer can be uniquely decomposed into a sum of even-indexed Fibonacci numbers, whose coefficient…