10 citations · 14 across the 10 of their papers we have counts for
4 papers · 2 filters
Benford Behavior of Generalized Zeckendorf Decompositions
Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5
We prove connections between Zeckendorf decompositions and Benford's law. Recall that if we define the Fibonacci numbers by and , every…
Gaps between zeros of GL(2) -functions
Owen Barrett, Brian McDonald, Steven J. Miller +3
Let be an -function associated to a primitive (holomorphic or Maass) cusp form on GL(2) over . Combining mean-value estimates of Montgomery and Vaughan…
Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals
Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5
Zeckendorf's theorem states that every positive integer can be written uniquely as a sum of non-consecutive Fibonacci numbers , with initial terms . We con…
Benford Behavior of Zeckendorf Decompositions
Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5
A beautiful theorem of Zeckendorf states that every integer can be written uniquely as the sum of non-consecutive Fibonacci numbers . A set $S \subset \…