J. Buhler

activity

20032019

most citedIrregular primes to 163 million

2 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.NT2019

Littlewood Polynomials, Spectral-Null Codes, and Equipowerful Partitions

Joe Buhler, Shahar Golan, Rob Pratt +1

Let $[n]$ denote ${0, 1, ..., n - 1}$ . A polynomial $f (x) = \sum a_{i} x^{i}$ is a Littlewood polynomial (LP) of length $n$ if the $a_{i}$ are $\pm 1$ for $i \in [n]$ , and $a_{i} = 0$ for…

math.ST2017

Explicit error bounds for lattice Edgeworth expansions

J. P. Buhler, A. C. Gamst, R. L. Graham +1

Motivated, roughly, by comparing the mean and median of an IID sum of bounded lattice random variables, we develop explicit and effective bounds on the errors involved in the one-t…

math.CO2014

On Levine's notorious hat puzzle

Joe Buhler, Chris Freiling, Ron Graham +5

The Levine hat game requires $n$ 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…

math.CO2010

Origami rings

Joe Buhler, Steve Butler, Warwick de Launey +1

Motivated by a question in origami, we consider sets of points in the complex plane constructed in the following way. Let $L_{α} (p)$ be the line in the complex plane through $p$ with…

math.CO2010

Hypercube orientations with only two in-degrees

Joe Buhler, Steve Butler, Ron Graham +1

We consider the problem of orienting the edges of the $n$ -dimensional hypercube so only two different in-degrees $a$ and $b$ occur. We show that this can be done, for two specified…

math.NT2009★ 2 cited

Irregular primes to 163 million

Joe P. Buhler, David Harvey

We compute all irregular primes less than 163,577,356. For all of these primes we verify that the Kummer-Vandiver conjecture holds and that the lambda-invariant is equal to the ind…