Geodesic
About asymptotics and large deviations in the central limit theorem for sums $\sum \mathbf{f(q^nt)}$
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 52-84

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In the paper new estimates for the remainder term and large deviations in the central limit theorem for sums $\sum \mathbf{f(q^nt)}$ are obtained. Technique and methods of reasoning contained not only in the classical probability theory, but also in the theory of diophantine equations with exponential function are used in the given proofs.
Keywords: central limit theorem, exponential function, asymptotics and large deviations.
Mots-clés : diophantine equation 
@article{VSGU_2009_4_a4,
     author = {L. P. Usol'tsev},
     title = {About asymptotics and large deviations in the central limit theorem for sums $\sum \mathbf{f(q^nt)}$},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {52--84},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_4_a4/}
}
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L. P. Usol'tsev. About asymptotics and large deviations in the central limit theorem for sums $\sum \mathbf{f(q^nt)}$. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 52-84. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a4/