76 citations · 495 across the 37 of their papers we have counts for
Showing 2013 · math-phShow all
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math-ph2013★ 2 cited
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…
math-ph2013★ 9 cited
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…
math-ph2013★ 16 cited
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…