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Evaluation of spherical GJMS determinants
Toufik Mansour, J. S. Dowker
An expression in the form of an easily computed integral is given for the determinant of the scalar GJMS operator on an odd--dimensional sphere. Manipulation yields a sum formula f…
Numerical evaluation of spherical GJMS determinants
J. S. Dowker
A numerical expression in the form of an integral is given for the determinant of the scalar GJMS operator on an odd--dimensional sphere. Manipulation yields a curious sum formula…
Lens space determinants
J. S. Dowker
More analysis of operator determinants on homogeneous three dimensional lens spaces is presented with the emphasis on numerics so that Laplacians for massive fields can be dealt wi…
Heat-kernels on the discrete circle and interval
J. S. Dowker
As is known, the free heat-kernel on the integers (a modified Bessel function) is turned into the periodic free heat-kernel on the discrete circle by factoring, giving a pre-image…
Discrete Determinants and the Gel'fand-Yaglom formula
J. S. Dowker
I present a partly pedagogic discussion of the Gel'fand-Yaglom formula for the functional determinant of a one-dimensional, second order difference operator, in the simplest settin…