The central limit theorem for Sigma f(theta(n)x)g(theta(n2)x)

Authors
Fukuyama, K
Citation
K. Fukuyama, The central limit theorem for Sigma f(theta(n)x)g(theta(n2)x), ERGOD TH DY, 20, 2000, pp. 1335-1353
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
5
Pages
1335 - 1353
Database
ISI
SICI code
0143-3857(200010)20:<1335:TCLTFS>2.0.ZU;2-3
Abstract
In this paper, it is proved that the distribution of values of N-1/2 Sigma (N)(n=1) f(1)(theta (p1(n))x)...f(K)(theta (pK(n))x) converges to normal di stribution. Here p(k)(n) are polynomials.