Brian McDonald

most citedGaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals

10 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2015★ 1 cited

Gaussian Distribution of the Number of Summands in Generalized 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 $F_{n}$ , with initial terms $F_{1} = 1, F_{2} = 2$ . Previo…

math.NT2014★ 3 cited

Gaps between zeros of GL(2) $L$ -functions

Owen Barrett, Brian McDonald, Steven J. Miller +3

Let $L (s, f)$ be an $L$ -function associated to a primitive (holomorphic or Maass) cusp form $f$ on GL(2) over $Q$ . Combining mean-value estimates of Montgomery and Vaughan…

math.NT2014★ 10 cited

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 $F_{n}$ , with initial terms $F_{1} = 1, F_{2} = 2$ . We con…

Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals

Gaps between zeros of GL(2) L-functions

Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals

Gaps between zeros of GL(2) $L$ -functions