activity
20122025
most citedA manufacturable platform for photonic quantum computing

24 citations · 28 across the 18 of their papers we have counts for

collaborators
Showing math.COShow all

4 papers · 1 filter

math.CO2023

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…

math.CO2023

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…

math.CO2023

Vector Partition Identities for D, D and D Lattices

Geoffrey B. Campbell

We prove identities generating higher dimensional vector partitions. We derive theorems for integer lattice points in the 2D first quadrant, then generalize the approach to find 3D…

math.CO2023

Continued Fractions for partition generating functions

Geoffrey B. Campbell

We derive continued fractions for partition generating functions, utilizing both Euler's techniques and Ramanujan's techniques. Although our results are for integer partitions ther…