J. Vandehey

activity

20082026

most citedContainment in (s,t)-core Partitions

8 citations · 39 across the 23 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

4 papers · 2 filters

math.NT2014

Normal number constructions for Cantor series with slowly growing bases

Dylan Airey, Bill Mance, Joseph Vandehey

Let $Q = (q_{n})_{n = 1}^{\infty}$ be a sequence of bases with $q_{i} \geq 2$ . In the case when the $q_{i}$ are slowly growing and satisfy some additional weak conditions, we provide a construct…

math.NT2014★ 1 cited

Lagrange's Theorem for continued fractions on the Heisenberg group

Joseph Vandehey

We prove an analog of Lagrange's Theorem for continued fractions on the Heisenberg group: points with an eventually periodic continued fraction expansion are those that satisfy a p…

math.NT2014★ 6 cited

On the joint normality of certain digit expansions

Joseph Vandehey

We prove that a point $x$ is normal with respect to an ergodic, number-theoretic transformation $T$ if and only if $x$ is normal with respect to $T^{n}$ for any $n \geq 1$ . This correc…

math.NT2014

Besicovitch, Bisection, and the normality of $0. (1) (4) (9) (16) (25) \dots$

Paul Pollack, Joseph Vandehey

We revisit Besicovitch's 1935 paper in which he introduced several techniques that have become essential elements of modern combinatorial methods of normality proofs. Despite his p…

Normal number constructions for Cantor series with slowly growing bases

Lagrange's Theorem for continued fractions on the Heisenberg group

On the joint normality of certain digit expansions

Besicovitch, Bisection, and the normality of 0.(1)(4)(9)(16)(25)…

Besicovitch, Bisection, and the normality of $0. (1) (4) (9) (16) (25) \dots$