Geodesic
Distribution of fractional parts of random vectors: Gaussian case. II
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 4, pp. 776-778 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper improves the inequalities for deviation from 1 of a density of the fractional part of the $s$-dimensional Gaussian random vector (uniform distribution density) obtained in part I [Theory Probab. Appl., 48 (2004), pp. 355–359].
Keywords: uniform distribution, fractional Gaussian vectors.
Mots-clés : Poisson summation formula 
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     title = {Distribution of fractional parts of random vectors: {Gaussian} {case.~II}},
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A. A. Kulikova; Yu. V. Prokhorov; V. I. Khokhlov. Distribution of fractional parts of random vectors: Gaussian case. II. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 4, pp. 776-778. http://geodesic.mathdoc.fr/item/TVP_2005_50_4_a9/

[1] Hardy G. H., Wright E. M., An Introduction to the Theory of Numbers, 4th ed., Clarendon Press, Oxford, 1960, 421 pp. | Zbl

[2] Kulikova A. A., Prokhorov Yu. V., “Raspredelenie drobnykh dolei sluchainykh vektorov: gaussovskii sluchai. I”, Teoriya veroyatn. i ee primen., 48:2 (2003), 399–402 | MR | Zbl