4 papers
Bernoulli and Euler Partitions
Thomas Curtright, Christophe Vignat
Exact rational partitions are presented for Bernoulli and Euler numbers as novel sums involving Faulhaber and Salié coefficients.
Bernoulli Partitions
Thomas L. Curtright
Scale invariant scattering suggests that all Bernoulli numbers B_{2n} can be naturally partitioned, i.e., written as particular finite sums of same-signed, monotonic, rational numb…
Scattering Shadows
Thomas Curtright, Gaurav Verma
We discuss the regions forbidden to classical scattering trajectories by repulsive potentials. We give explicit results for the asymptotic form of these regions, far from the scatt…
Scale Invariant Scattering and Bernoulli Numbers
Thomas L. Curtright
Non-relativistic quantum mechanical scattering from an inverse square potential in two spatial dimensions leads to a novel representation of the Bernoulli numbers.