Canonical entropy of higher-dimensional black hole

Recently, Hawking radiation of the black hole has been studied using the tunnel effect method. It is found the radiation spectrum of the black hole is not a strictly pure thermal spectrum. How the departure from pure thermal spectrum affects the entropy? This is a very interesting problem. In this paper, we calculate the partition function by energy spectrum obtained by tunnel effect. Further, we compute the entropies corresponding to the black-hole event horizon and cosmic horizon. The logarithmic correction terms to entropies corresponding to the black-hole event horizon and cosmic horizon have been obtained. We discuss (n + 2)-dimensional Schwarzschild-de Sitter spaces.