E. Rowland

activity

20072023

most citedPattern avoidance in binary trees

52 citations · 188 across the 37 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020★ 2 cited

Lucas' theorem modulo $p^{2}$

Eric Rowland

Lucas' theorem describes how to reduce a binomial coefficient $(b a)$ modulo $p$ by breaking off the least significant digits of $a$ and $b$ in base $p$ . We characterize the…

math.CO2020

Avoiding 5/4-powers on the alphabet of nonnegative integers

Eric Rowland, Manon Stipulanti

We identify the structure of the lexicographically least word avoiding 5/4-powers on the alphabet of nonnegative integers. Specifically, we show that this word has the form $p τ(φ(…

math.NT2020★ 1 cited

Lucas congruences for the Apéry numbers modulo $p^{2}$

Eric Rowland, Reem Yassawi, Christian Krattenthaler

The sequence $A (n)_{n \geq 0}$ of Apéry numbers can be interpolated to $C$ by an entire function. We give a formula for the Taylor coefficients of this function, centered…

Lucas' theorem modulo p2

Avoiding 5/4-powers on the alphabet of nonnegative integers

Lucas congruences for the Apéry numbers modulo p2

Lucas' theorem modulo $p^{2}$

Lucas congruences for the Apéry numbers modulo $p^{2}$