52 citations · 188 across the 37 of their papers we have counts for
5 papers · 1 filter
Iterated primitives of logarithmic powers
Luis A. Medina, Victor H. Moll, Eric S. Rowland
The evaluation of iterated primitives of powers of logarithms is expressed in closed form. The expressions contain polynomials with coefficients given in terms of the harmonic numb…
Growing words in the free group on two generators
Bobbe Cooper, Eric Rowland
This paper is concerned with minimal-length representatives of equivalence classes of words in F_2 under Aut F_2. We give a simple inequality characterizing words of minimal length…
Non-regularity of floor(alpha + log_k(n))
Eric S. Rowland
This paper presents a new proof that if k^alpha is irrational then the sequence floor(alpha + log_k(n)) is not k-regular. Unlike previous proofs, the methods used do not rely on au…
On the number of walks on a regular Cayley tree
Eric Rowland, Doron Zeilberger
We provide a new derivation of the well-known generating function counting the number of walks on a regular tree that start and end at the same vertex, and more generally, a genera…
Regularity versus complexity in the binary representation of 3^n
Eric S. Rowland
We use the grid consisting of bits of 3^n to motivate the definition of 2-adic numbers. Specifically, we exhibit diagonal stripes in the bits of 3^(2^n), which turn out to be the f…