Article contents
Estimates for a remainder term associated with the sum of digits function
Published online by Cambridge University Press: 18 May 2009
Extract
If q(≥2) is a fixed integer it is well known that every positive integer k may be expressed uniquely in the form
We introduce the ‘sum of digits’ function
Both the above sums are of course finite. Although the behaviour of α(q, k) is somewhat erratic, its average behaviour is more regular and has been widely studied.
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 1987
References
REFERENCES
- 8
- Cited by