Factorization formulas for higher depth determinants of the Laplacian on the n-sphere
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🧮 math.NT
keywords
depthdeterminantsfactorizationformulashighern-spheredefinedderivatives
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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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