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Numerical evaluation of spherical GJMS determinants

2013/09/11 by J. S. Dowker, Dowker, J. S.
Engineering · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Radiative Heat Transfer Studies #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1309.2873

openalex publication_date 2013/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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