| MSC: | 39A13 | Difference equations, scaling ($q$-differences) [See also 33Dxx] |
| 11A63 | Radix representation; digital problems {For metric results, see 11K16} | 11B68 | Bernoulli and Euler numbers and polynomials | 26A30 | Singular functions, Cantor functions, functions with other special properties |
Abstract:
This paper uncovers a connection between two-scale difference equations and
the representation of sums of sequences which satisfy a certain multiplicative recurrence formula. For certain digital power sums related with such a sequence we derive a formula which in case of usual power sums yields the known representation of power sums by means of Bernoulli polynomials.