37 citations · 48 across the 6 of their papers we have counts for
6 papers
On the number of summands in Zeckendorf decompositions
Murat Kologlu, Gene Kopp, Steven J. Miller +1
Zeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. Once this has been shown, it's natural to ask how many summ…
The Limiting Spectral Measure for Ensembles of Symmetric Block Circulant Matrices
Murat Kologlu, Gene S. Kopp, Steven J. Miller +2
Given an ensemble of NxN random matrices, a natural question to ask is whether or not the empirical spectral measures of typical matrices converge to a limiting spectral measure as…
A combinatorial identity for studying Sato-Tate type problems
Steven J. Miller, M. Ram Murty, Frederick W. Strauch
We derive a combinatorial identity which is useful in studying the distribution of Fourier coefficients of L-functions by allowing us to pass from knowledge of moments of the coeff…
Effective equidistribution and the Sato-Tate law for families of elliptic curves
Steven J. Miller, M. Ram Murty
Extending recent work of others, we provide effective bounds on the family of all elliptic curves and one-parameter families of elliptic curves modulo p (for p prime tending to inf…
Low-lying Zeros of Number Field -functions
Steven J. Miller, Ryan Peckner
One of the most important statistics in studying the zeros of L-functions is the 1-level density, which measures the concentration of zeros near the central point. Fouvry and Iwani…
Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices
Steven Jackson, Steven J. Miller, Thuy Pham
Consider the ensemble of real symmetric Toeplitz matrices whose entries are i.i.d random variables chosen from a fixed probability distribution p of mean 0, variance 1 and finite h…