Steven J. Miller

most citedLegal Decompositions Arising from Non-positive Linear Recurrences

14 citations · 14 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2020

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 ${F_{n}}$ , where we take $F_{1} = 1$ and $F_{2} = 2$ …

math.CO2016★ 14 cited

Legal Decompositions Arising from Non-positive Linear Recurrences

Minerva Catral, Pari L. Ford, Pamela E. Harris +2

Zeckendorf's theorem states that any positive integer can be written uniquely as a sum of non-adjacent Fibonacci numbers; this result has been generalized to many recurrence relati…