4 citations · 7 across the 6 of their papers we have counts for
6 papers
Asymptotics of Reciprocal Supernorm Partition Statistics
Jeffrey C. Lagarias, Chenyang Sun
We consider two multiplicative statistics on the set of integer partitions: the norm of a partition, which is the product of its parts, and the supernorm of a partition, which is t…
Hyperbolic Staircases: Periodic Paths on -gons
Mei Rose Connor, Diana Davis, Paige Helms +4
The study of polygonal billiards, particularly those in the regular pentagon, has been the subject of two recent papers. One of these papers approaches the problem of discovering t…
Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, II
Thomas C. Martinez, Steven J. Miller, Clayton Mizgerd +2
Zeckendorf's theorem states that every positive integer can be written uniquely as the sum of non-consecutive shifted Fibonacci numbers , where we take and …
Deterministic Zeckendorf Games
Ruoci Li, Xiaonan Li, Steven J. Miller +4
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers. We further explore a two-player Zeckendorf game introduced in Ba…
Generalizing the Distribution of Missing Sums in Sumsets
Hung V. Chu, Dylan King, Noah Luntzlara +5
Given a finite set of integers , its sumset is . We examine as a random variable, where , the set of integer…
Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, I
Thomas C. Martinez, Steven J. Miller, Clayton Mizgerd +1
Zeckendorf's theorem states that every positive integer can be written uniquely as the sum of non-consecutive shifted Fibonacci numbers , where we take and …