### Kuipers, L and Shiue, JS (1973)

#### Remark on a paper by Duncan and Brown on the sequence of logarithms of certain recursive sequences

Fibonacci Quarterly 11(3), pp. 292-294.

**ISSN/ISBN:** Not available at this time.
**DOI:** Not available at this time.

**Abstract:** In the present paper, it is shown that the main theorem in a paper by Brown and Duncan can be established by using one of JG van der Corput's difference theorems. Moreover, by using a theorem of CL VandenEynden we show the property that the sequence of the integral parts of the logarithms of the sequence under considerationis also uniformly distributed modulo m for any integer m≥2.

**Bibtex:**

```
@article{,
title={Remark on a paper by Duncan and Brown on the sequence of logarithms of certain recursive sequences},
author={Kuipers, L and Shiue, JS},
journal={Fibonacci Quart},
volume={11},
pages={292--294},
year={1973},
}
```

**Reference Type:** Journal Article

**Subject Area(s):** Number Theory