38 citations · 110 across the 18 of their papers we have counts for
22 papers
Numerical Simulation of the Trapping Reaction with Mobile and Reacting Traps
Joshua D. Hellerick, Robert C. Rhoades, Benjamin P. Vollmayr-Lee
We study a variation of the trapping reaction, A+B->A, in which both the traps (A) and the particles (B) undergo diffusion, and the traps upon meeting react according to A+A->0 or…
Peak positions of strongly unimodal sequences
Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg +1
We study combinatorial and asymptotic properties of the rank of strongly unimodal sequences. We find a generating function for the rank enumeration function, and give a new combina…
Shifted polyharmonic Maass forms for PSL(2,Z)
Nickolas Andersen, Jeffrey C. Lagarias, Robert C. Rhoades
We study the vector space V_k^m(λ) of shifted polyharmonic Maass forms of weight k \in 2Z, depth m \geq 0, and shift λ\in C. This space is composed of real-analytic modular forms o…
Counting De Bruijn sequences as perturbations of linear recursions
Don Coppersmith, Robert C. Rhoades, Jeffrey M. VanderKam
Every binary De~Bruijn sequence of order n satisfies a recursion 0=x_n+x_0+g(x_{n-1}, ..., x_1). Given a function f on (n-1) bits, let N(f; r) be the number of functions generating…
On the Andrews-Zagier asymptotics for partitions without sequences
Kathrin Bringmann, Robert Rhoades, Daniel Parry
We establish the asymptotic behavior of the Andrews function as
Polyharmonic Maass forms for PSL(2, Z)
Jeffrey C. Lagarias, Robert C. Rhoades
We discuss polyharmonic Maass forms of even integer weight on PSL(2, Z)\H, which are a generalization of classical Maass forms. We explain the role of real-analytic Eisenstein seri…