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TRUNCATED HEAT KERNEL AND ONE-LOOP DETERMINANTS FOR THE BTZ GEOMETRY

By A. A. Bytsenko (a and M. E. X. Guimarães

Abstract

There is a special relation between the spectrum and the truncated heat kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta function. Using an orbifold description of this relation we calculate the on-shell corrections of the gravitational quantum fluctuations

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