97 citations · 777 across the 84 of their papers we have counts for
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Casimir energy for elliptic fixed points
J. S. Dowker
The contribution of elliptic fixed points to the scalar Casimir energy on compact quotients of the upper half hyperbolic plane is computed for a propagation operator conformal in t…
A note on the functional determinant of higher-derivative scalar fields on sphere products
J. S. Dowker
It is shown that the functional determinant ( effective action) for a scalar field propagating on the mixed signature product of unit spheres, SS, according to…
Note on a numerical equality regarding the eta invariant on Berger spheres
J. S. Dowker
The Dirac APS eta invariant on a Berger sphere of dimension is discovered, numerically, to coincide, up to spin factors, with the Dirac conformal anomaly on a round sphere o…
Algebraic derivation of some theorems concerning contact structures on the 3-sphere
J. S. Dowker
Two theorems involving curl eigenfields on the 3--sphere are obtained using angular momentum theory. Spinor hyperspherical harmonics are shown to form an explicit, convenient basis…
A discrete Funk-Hecke theorem
J. S. Dowker
A discrete Funk--Hecke formula is set up using the analogy between ordinary and operator spherical harmonics. It is the fuzzy sphere analogue of the conventional theory. An example…
Note on an improved classical limit of Clebsch-Gordan coefficients
J. S. Dowker
A symmetrising shift employed by Frenkel and Hartnoll in the approximate computation of the elements of matrix spherical harmonics is further explored and shown to be related to th…