Factorization formulas for higher depth determinants of the Laplacian on the n-sphere

Details Factorization formulas for higher depth determinants of the Laplacian on the n-sphere Factorization formulas for higher depth determinants of the Laplacian on the n-sphere

2010-11-13

arxiv.org/abs/1011.3095v1

Mathematics

Number Theory

23 pages

Scientific paper

We explicitly give factorization formulas for higher depth determinants,
which are defined via derivatives of the spectral zeta function at non-positive
integer points, of Laplacians on the n-sphere in terms of the multiple gamma
functions.

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