76 citations · 495 across the 37 of their papers we have counts for
7 papers · 1 filter
Constructing a Proof of the Riemann Hypothesis
Ross C. McPhedran
This paper compares the distribution of zeros of the Riemann zeta function with those of a symmetric combination of zeta functions, denoted , known to have al…
The Riemann Hypothesis for Dirichlet Functions
Ross C. McPhedran
This paper studies the connections between the zeros and their distribution functions for two particular Dirichlet functions: the Riemann zeta function, and the Catalan beta fu…
The Riemann Hypothesis for Symmetrised Combinations of Zeta Functions
Ross C. McPhedran, Christopher G. Poulton
This paper studies combinations of the Riemann zeta function, based on one defined by P.R. Taylor, which was shown by him to have all its zeros on the critical line. With a rescale…
Finite frequency external cloaking with complementary bianisotropic media
Yan Liu, Boris Gralak, Ross. C. McPhedran +1
We investigate the twofold functionality of a cylindrical shell consisting of a negatively refracting heterogeneous bianisotropic (NRHB) medium deduced from geometric transforms. T…
Symmetry and resonant modes in platonic grating stacks
Stewart G Haslinger, Alexander B Movchan, Natasha V Movchan +1
We study the flexural wave modes existing in finite stacks of gratings containing rigid, zero-radius pins. We group the modes into even and odd classes, and derive dispersion equat…
The searchlight effect in hyperbolic materials
Graeme W. Milton, Ross C. McPhedran, Ari Sihvola
The quasistatic field around a circular hole in a two-dimensional hyperbolic medium is studied. As the loss parameter goes to zero, it is found that the electric field diverges alo…