Let Q=[Q j ] j=0 be a strictly increasing sequence of integers with Q 0 =1 and such that each Q j is a divisor of Q j+1 . The sequence Q is a numeration system in the sense that every positive integer n has a unique ``base-Q'' representation of the form n= j 0 a j (n) Q j with ``digits'' a j (n) sat
โฆ LIBER โฆ
Generalizing the Sum of Digits Function
โ Scribed by Helmut, Prodinger
- Book ID
- 118212989
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1982
- Weight
- 476 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0196-5212
- DOI
- 10.1137/0603004
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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