Abstract
The purpose of this paper is to discuss an asymptotic behavior of high temperature expansion of free energy of n-vector model with 2l dummy components in the limit n →0. In doing so, the application of saddle point method is essential so that the present paper begins with some notes on this method. On the basis of these notes, the logarithm of partition function is transformed into a form which is suitable for discussing high temperature expansion. As a working example, Husimi-Temperley interaction is dealt with.

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