The simplest 2-regular sequences
Activity: Talk or presentation › Oral presentation
Participants
- Lukas Spiegelhofer - Speaker
Date
14 Dec 2023
Lukas Spiegelhofer - Speaker
For an integer k greater than 1, k-regular sequences were defined by Allouche and Shallit.
We study two of the "simplest" such sequences, which are well-known: (1.) the discrepancy of the van der Corput sequence, and (2.) the number of odd entries in a given row of Pascal's triangle.
In the first case, a Gaussian behaviour is known by previous results of Drmota, Larcher, and Pillichshammer; the second case gives rise to a constant (the Stolarsky--Harborth constant) whose precise value is still unknown.
We give an overview of these topics, and point out possible paths towards progress on these topics.
14 Dec 2023
External organisation (University)
| Name | Institute of Applied Physics |
|---|---|
| Acronym | JKU |
| Location | Altenbergerstraße 69 |
| City | A-4040 Linz |
| Country/Territory | Austria |
