3 papers
math.NT2025
Shifting Zeckendorf and Chung-Graham representations
Rob Burns
We re-prove some results about integers whose Zeckendorf and Chung-Graham representations satisfy certain conditions. We use properties of the shift operator and use the software p…
math.NT2025
Chung-Graham and Zeckendorf representations
Rob Burns
We examine the relationship between the Chung-Graham and Zeckendorf representations of an integer using the software package {\tt Walnut}.
math.NT2024
Synchronisation of running sums of automatic sequences
Rob Burns
We investigate the running sums of some well-known automatic sequences to determine whether they are synchronised.