Abstract
An expression for the effective action of a conformal scalar on odd spheres allows a relatively simple computation of the expansion coefficients of the Rényi entropy for any odd dimension, d. Explicit values are listed for d=3,5 and 7. The alternative method, using a mapping to a flat conical manifold, is also employed, again for any odd dimension, and some mathematical details are presented on the computation of certain integrals.
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