Sum-of-digits function for certain nonstationary-bases
β Scribed by N. Sidorov
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 351 KB
- Volume
- 96
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
The aim of this paper is to provide detailed estimates for the discrepancy of the sequences ([: } s q (n)]) ([x] denotes the fractional part of x) and results concerning the uniform distribution and the discrepancy of the sequences ([: 1 } s q 1 (n)], ..., [: d } s q d (n)]), where :, : 1 , ..., : d
Canonical number systems are the natural generalization of q-adic number systems to number fields. Such number systems admit a certain representation of each algebraic integer of a given number field with respect to the powers of a given base number b. The aim of this paper is to study the sum of di