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math.NT2010★ 2 cited
Factorization formulas for higher depth determinants of the Laplacian on the n-sphere
Yoshinori Yamasaki
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 Laplacia…
math.NT2010★ 3 cited
Milnor-Selberg zeta functions and zeta regularizations
Nobushige Kurokawa, Masato Wakayama, Yoshinori Yamasaki
By a similar idea for the construction of Milnor's gamma functions, we introduce "higher depth determinants" of the Laplacian on a compact Riemann surface of genus greater than one…