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We provide an explanation of the main ideas underlying G\"otze's main resultin using Stein's method. We also provide detailed derivations of variousintermediate estimates. Curiously, we are led to a different dimensionaldependence of the constant than that given G\"otze's paper. We would like todedicate this to Charles Stein on the occasion of his 90th birthday.

An Exposition of G\"otze's Estimation of the Rate of Convergence in the Multivariate Central Limit Theorem