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We derive traditional thermodynamic Bethe ansatz (TBA) equations for thesl(r+1) Uimin-Sutherland model from the T-system of the quantum transfermatrix. These TBA equations are identical to the ones from the stringhypothesis. Next we derive a new family of nonlinear integral equations (NLIE).In particular, a subset of these NLIE forms a system of NLIE which containsonly a finite number of unknown functions. For r=1, this subset of NLIE reducesto Takahashi's NLIE for the XXX spin chain. A relation between the traditionalTBA equations and our new NLIE is clarified. Based on our new NLIE, we alsocalculate the high temperature expansion of the free energy.Comment: 24 pages, 4 figures, to appear in J. Phys. A: Math. Ge

Nonlinear integral equations for thermodynamics of thesl(r 1) Uimin Sutherland model