Geodesic
A Note on the Distribution Function of Additive Arithmetical Functions in Short Intervals
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 441-445

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Let f be an additive arithmetical function having a distribution F. For any sequence let In this note, we determine the slowest growing function b so that Qn{b, f) tends weakly to F, for various f.
DOI : 10.4153/CMB-1989-063-5
Mots-clés : 10K20, 60F05 
Babu, Gutti Jogesh; Erdös, Paul. A Note on the Distribution Function of Additive Arithmetical Functions in Short Intervals. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 441-445. doi: 10.4153/CMB-1989-063-5
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     author = {Babu, Gutti Jogesh and Erd\"os, Paul},
     title = {A {Note} on the {Distribution} {Function} of {Additive} {Arithmetical} {Functions} in {Short} {Intervals}},
     journal = {Canadian mathematical bulletin},
     pages = {441--445},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-063-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-063-5/}
}
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