4 citations · 7 across the 5 of their papers we have counts for
9 papers
On The Euclidean Algorithm: Rhythm Without Recursion
Thomas Morrill
A modified form of Euclid's algorithm has gained popularity among musical composers following Toussaint's 2005 survey of so-called Euclidean rhythms in world music. We offer a meth…
Quasimodularity of the th Residual Cranks
Thomas Morrill, Aleksander Simonič
We establish quasimodularity for a family of residual crank generating functions defined on overpartitions. We also show that the second moments of these th residual cranks admi…
Look, Knave
Thomas Morrill
We examine a recursive sequence in which is a literal description of what the binary expansion of the previous term is not. By adapting a technique of Conway, we de…
Inequalities for the th Residual Crank Moments of Overpartitions
Ali H. Al-Saedi, Thomas Morrill, Holly Swisher
Two analogues of the crank function are defined for overpartitions -- the first residual crank and the second residual crank. This suggests an exploration of crank functions define…
Sign changes in the prime number theorem
Thomas Morrill, Dave Platt, Tim Trudgian
Let denote the number of sign changes in for . We show that , where $γ_{…
An elementary bound on Siegel zeroes
Thomas Morrill, Tim Trudgian
We consider Dirichlet -functions where is a real, non-principal character modulo . Using Pintz's refinement of Page's theorem, we prove that for the f…