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group Con(n) of (n+1)-dimensional hyperbolic space Hn+1 We shall associate in • ̃3 a certain number ƒÂ(G), 0•...ƒÂ(G)•...n, to G called the exponent of convergence of the Poincare series attached to G. It is related to several of the geometric properties of G; these properties have been the subject of many investigations but in [5] Sullivan has discussed these exhaustively and completed them in several important points. The question with which this paper is concerned is that of estimating

Further remarks on the exponent of convergence of Poincaré series