  In this paper, we develop a local limit theorem for the Student distribution.
We use it to improve the normal approximation of the Student survival function
given in Shafiei & Saberali (2015) and to derive asymptotic bounds for the
corresponding maximal errors at four levels of approximation. As a corollary,
approximations for the percentage points (or quantiles) of the Student
distribution are obtained in terms of the percentage points of the standard
normal distribution.
