We solve the dilaton field equation in the background of a spherically
symmetric black hole in type II superstring theory with α′3 corrections
in arbitrary d spacetime dimensions. We then apply this result to obtain a
spherically symmetric black hole solution with α′3 corrections in
superstring theory compactified on a torus, coupled to such dilaton. For this
black hole we obtain its mass, entropy, temperature, specific heat, and free
energy.Comment: V2: some small changes in the presentation; references and discussion
added; results unchanged. Published version. arXiv admin note: text overlap
with arXiv:0912.305