5 citations · 7 across the 4 of their papers we have counts for
5 papers
Coefficients of the Inflated Eulerian Polynomial
Juan S. Auli, Ron Graham, Carla D. Savage
It follows from work of Chung and Graham that for a certain family of polynomials , derived from the descent statistic on permutations, the coefficient sequence of $T_{n-…
On Levine's notorious hat puzzle
Joe Buhler, Chris Freiling, Ron Graham +5
The Levine hat game requires players, each wearing an infinite random stack of black and white hats, to guess the location of a black hat on their own head seeing only the hats…
Can you hear the shape of a Beatty sequence?
Ron Graham, Kevin O'Bryant
Let K(x_1,...,x_d) be a polynomial. If you are not given the real numbers α_1, α_2, ...,α_d, but are given the polynomial K and the sequence a_n=K(\floor{nα_1},\floor{nα_2},...,\fl…
Some Ramsey results for the n-cube
Ron Graham, Jozsef Solymosi
In this note we establish a Ramsey-type result for certain subsets of the -dimensional cube. This can then be applied to obtain reasonable bounds on various related structures,…
A Discrete Fourier Kernel and Fraenkel's Tiling Conjecture
Ron Graham, Kevin O'Bryant
The set B_{p,r}^q:=\{\floor{nq/p+r} \colon n\in Z \} with integers p, q, r) is a Beatty set with density p/q. We derive a formula for the Fourier transform \hat{B_{p,r}^q}(j):=\sum…