On Minakshisundaram-Pleijel zeta functions of spheres
E. Carletti and G. Monti Bragadin
Proc. Amer. Math. Soc. 122 (1994), 993-1001
Primary 58G26; Secondary 11M36
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Abstract: The aim of this paper is to show that the Minakshisundaram-Pleijel zeta function of k-dimensional sphere (defined in by with where the "rising factorial" is defined for real number x and n nonnegative integer) can be put in the form where are explicitly computed. The above formula allows us to find explicitly the residue of at the pole , In passing, we also obtain apparently new relations among the Stirling numbers.
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