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arXiv · 1011.3095

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

Yoshinori Yamasaki
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Abstract

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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Yoshinori Yamasaki. 2010-11-13. Factorization formulas for higher depth determinants of the Laplacian on the n-sphere. https://arxiv.org/abs/1011.3095

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