3 papers
math.NT2026
On Zeckendorf-Niven numbers and arithmetic progressions
Kelly Lao, Steven J. Miller, Nicholas Rosa +4
A positive integer is Zeckendorf-Niven (respectively, Lucas-Niven) if it is divisible by the number of summands in its Zeckendorf decomposition (respectively, Lucas decomposition).…
math.FA2025
On Unconditionality and Higher-Order Schreier Unconditionality
Mark Shiliaev
Let be a Banach space, be its basis, and be a Schreier family of order alpha. We introduce Condition A which is a weaker version of the Continuum Hy…
math.NT2025
The best two-term underapproximation using numbers from Fibonacci-type sequences
Mark Shiliaev
This paper studies the greedy two-term underapproximation of using reciprocals of numbers from a Fibonacci-type sequence . We find the set of …