142 citations · 462 across the 17 of their papers we have counts for
17 papers
SanD primes and numbers
Freeman J. Dyson, Norman E. Frankel, Anthony J. Guttmann
We define S(um)anD(ifference) numbers as ordered pairs such that the digital-sum We consider both the decimal and the binary case. If both and $m+Δ…
Scaling the universe
Norman E. Frankel
A model is presented for the origin of the large scale structure of the universe and their Mass-Radius scaling law; a fractal power law, , with dimension , most…
Lehmer's Interesting Series
F. J. Dyson, N. E. Frankel, M. L. Glasser
The series $$S_k(z)=\sum_{m=1}^{\infty}\frac{m^kz^m}{(\{array}{c} 2m m \{array})}$$ is evaluated in non-recursive closed and analytically continued beyond its domain of convergence…
Edge effects in some perturbations of the GUE
K. E. Bassler, P. J. Forrester, N. E. Frankel
A bordering of GUE matrices is considered, in which the bordered row consists of zero mean complex Gaussians N off the diagonal, and the real Gaussian N…
Eigenvalue Separation in Some Random Matrix Models
Kevin E. Bassler, Peter J. Forrester, Norman E. Frankel
The eigenvalue density for members of the Gaussian orthogonal and unitary ensembles follows the Wigner semi-circle law. If the Gaussian entries are all shifted by a constant amount…
Short Wavelength Analysis of the Evolution of Perturbations in a Two-component Cosmological Fluid
R. M. Gailis, N. E. Frankel
The equations describing a two-component cosmological fluid with linearized density perturbations are investigated in the small wavelength or large limit. The equations are for…