119807407
Über Teilerfunktionen in Dirichletschen Reihen
120041491
Mittelwerteigenschaften der Riemannschen Zeta-Funktion
122880945
Optimal rates of convergence in the CLT for quadratic forms
We prove optimal convergence rates in the central limit theorem for sums in R k . Assuming a fourth moment, we obtain a Berry-Esseen type bound of O(N - 1) for the probability of hitting a ball provided that k ≥ 5. The proof still requires a technical assumption related to the independence of coordinates of sums.