We obtain estimates for the discrepancy of the sequence (xs(d)(q;n))n=0∞, where s(d)(q;n) denotes the sum of the dth powers of the q-ary digits of the nonnegative integer n and x is an irrational number of finite approximation type. Furthermore metric results for a similar type of sequences are given.
|Number of pages||11|
|Journal||Journal of Number Theory|
|Publication status||Published - May 1987|
ASJC Scopus subject areas
- Algebra and Number Theory