  In this paper, we will analyze the thermodynamics of a small singly spinning
Kerr-AdS black hole. As the black hole will be sufficient small, its
temperature will be large and so we can not neglect the effects of thermal
fluctuations. We will demonstrate that these thermal fluctuations correct the
entropy of singly spinning Kerr-AdS black hole by a logarithmic correction
term. We will analyze the implications of the logarithmic correction on other
thermodynamic properties of this black hole, and analyze the stability of such
a black hole. We will observe that this form of correction becomes important
when the size of the black hole is sufficient small. We will also analyze the
effect of these thermal fluctuations on the critical phenomena for such a black
hole.
