Geodesic
Estimate of the Concentration Function for a Class of Additive Functions
Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 598-605

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We show how methods for estimating the concentration function of the sum of independent random variables can be used to obtain estimates of the concentration function for the values of additive functions under suitable conditions. Previously obtained estimates of the concentration function are consequences of the estimate obtained in the present paper for functions from of the class under consideration.
Keywords: arithmetic additive function, concentration function, Sylvester's criterion, characteristic function, measure, Euler gamma function, random variable. 
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     author = {M. B. Khripunova and A. A. Yudin},
     title = {Estimate of the {Concentration} {Function} for a {Class} of {Additive} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a14/}
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M. B. Khripunova; A. A. Yudin. Estimate of the Concentration Function for a Class of Additive Functions. Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 598-605. http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a14/