Geodesic
On weighted densities
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 947-962.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The continuity of densities given by the weight functions $n^{\alpha }$, $\alpha \in [-1,\infty [$, with respect to the parameter $\alpha $ is investigated.
Classification : 11B05, 11K09, 11K99, 11P70
Keywords: asymptotic density; logarithmic density; $f$-density; continuity 
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     title = {On weighted densities},
     journal = {Czechoslovak Mathematical Journal},
     pages = {947--962},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2007},
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     zbl = {1195.11018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007__57_3_a12/}
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Giuliano-Antonini, Rita; Grekos, Georges; Mišík, Ladislav. On weighted densities. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 947-962. http://geodesic.mathdoc.fr/item/CMJ_2007__57_3_a12/