24 citations · 28 across the 18 of their papers we have counts for
19 papers
Magic Hexagon Formulas
Geoffrey B. Campbell
We give a variety of magic hexagons of Orders from 3 to 7, many of which are extensions of known results. We also give a theorem that their are an infinite number of magic hexagons…
Rogers-Ramanujan identities in Statistical Mechanics
Geoffrey B. Campbell
We describe the story of the Rogers-Ramanujan identities; being known for 85 years and having about 130 pure mathematics proofs, suddenly entering physics when Rodney Baxter solved…
A manufacturable platform for photonic quantum computing
Koen Alexander, Andrea Bahgat, Avishai Benyamini +92
Whilst holding great promise for low noise, ease of operation and networking, useful photonic quantum computing has been precluded by the need for beyond-state-of-the-art component…
VPV Identities related to and
Geoffrey B. Campbell
We cover rational and integer solutions for the equations and . The former equation solutions go back to Euler, and the latter equa…
Visible Point Vector Partition Identities for Hyperpyramid Lattices
Geoffrey B. Campbell
We set out an elementary approach to derive Visible Point Identities summed on lattice points of inverted triangle (2D), pyramid (3D), hyperpyramid (4D, 5D and so on) utilizing the…
Visible Point Partition Identities for Polylogarithms, and Parametric Euler Sums
Geoffrey B. Campbell
We set the scene with known values and functional relations for dilogarithms, trilogarithms and polylogarithms of various orders, along with more recent Euler sum values and multid…