Some Open Problems related to Creative Telescoping

TL;DR

This paper discusses open problems in creative telescoping, a key method in computer algebra for analyzing sums and integrals, highlighting ongoing research challenges and inviting further progress.

Contribution

It presents a selection of unresolved issues in creative telescoping, emphasizing areas needing further investigation and development.

Findings

Identification of key open problems in creative telescoping

Highlighting the importance of ongoing research in the field

Encouraging community engagement for progress

Abstract

Creative telescoping is the method of choice for obtaining information about definite sums or integrals. It has been intensively studied since the early 1990s, and can now be considered as a classical technique in computer algebra. At the same time, it is still subject of ongoing research. In this paper, we present a selection of open problems in this context. We would be curious to hear about any substantial progress on any of these problems.