The moments of b-additive functions in canonical number systems
The aim of the present paper is the estimation of the dth moment of additive functions in canonical number systems. These number systems are generalizations of the decimal number system to arbitrary polynomials having integer coefficients. We call a function additive (with respect to a number system...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 3-4 |
| Kulcsszavak: | Matematika, Függvények |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16441 |
| Tartalmi kivonat: | The aim of the present paper is the estimation of the dth moment of additive functions in canonical number systems. These number systems are generalizations of the decimal number system to arbitrary polynomials having integer coefficients. We call a function additive (with respect to a number system) if it only acts on the digits of an expansion. The sum-ofdigits function, as a special additive function, has been analyzed in the case of <j-adic number systems by Delange and number systems in number fields by Gittenberger and Thuswaldner. The present paper is a generalization of these results to arbitrary additive functions in canonical number systems. |
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| Terjedelem/Fizikai jellemzők: | 403-418 |
| ISSN: | 0001-6969 |