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arxiv: 1309.2873 · v1 · pith:OWDSHZ5Enew · submitted 2013-09-11 · 🧮 math-ph · hep-th· math.DG· math.MP· math.SP

Numerical evaluation of spherical GJMS determinants

classification 🧮 math-ph hep-thmath.DGmath.MPmath.SP
keywords gjmsnumericalconformalcuriousdeterminantdeterminantsdimensionsdrawn
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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 for the logdet in terms of the logdets of the ordinary conformal Laplacian for other dimensions. A few graphs are drawn.

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