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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1989_063_5,
     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/}
}
TY  - JOUR
AU  - Babu, Gutti Jogesh
AU  - Erdös, Paul
TI  - A Note on the Distribution Function of Additive Arithmetical Functions in Short Intervals
JO  - Canadian mathematical bulletin
PY  - 1989
SP  - 441
EP  - 445
VL  - 32
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-063-5/
DO  - 10.4153/CMB-1989-063-5
ID  - 10_4153_CMB_1989_063_5
ER  - 
%0 Journal Article
%A Babu, Gutti Jogesh
%A Erdös, Paul
%T A Note on the Distribution Function of Additive Arithmetical Functions in Short Intervals
%J Canadian mathematical bulletin
%D 1989
%P 441-445
%V 32
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-063-5/
%R 10.4153/CMB-1989-063-5
%F 10_4153_CMB_1989_063_5

[1] 1. Babu, G. J., Probabilistic methods in the theory of arithmetic functions, MacMillan Lectures in Mathematics, Series 2, Macmillan Company, New Delhi, 1978. Google Scholar

[2] 2. Babu, G. J., On the mean values and distributions of arithmetic functions, Acta Arithmetica 40 (1981), 63–77. Google Scholar

[3] 3. Babu, G. J., Distribution of the values of ω in short intervals, Acta Math. Acad. Sci. Hungar. 40 (1982), 135–137. Google Scholar

[4] 4. Erdös, P., Note on consecutive abundant numbers, J. London Math. Soc, 10 (1935) 128–131. Google Scholar

[5] 5. Halȧsz, G., Über die Mittelwerte Multiplicativer Zahlentheoretischer Funktionen, Acta Math. Acad. Sci. Hungar., 19 (1968) 365–403. Google Scholar

[6] 6. Hildebrand, A., Multiplicative functions in short intervals, Can. J. Math., 39 (1987), 646–672. Google Scholar

[7] 7. Indlekofer, K.-H., Limiting distributions of additive functions in short intervals, (1987) Preprint. Google Scholar

Cité par Sources :