English

Transcendence Certificates for D-finite Functions

Symbolic Computation 2023-09-20 v2

Abstract

Although in theory we can decide whether a given D-finite function is transcendental, transcendence proofs remain a challenge in practice. Typically, transcendence is certified by checking certain incomplete sufficient conditions. In this paper we propose an additional such condition which catches some cases on which other tests fail.

Cite

@article{arxiv.2302.06396,
  title  = {Transcendence Certificates for D-finite Functions},
  author = {Manuel Kauers and Christoph Koutschan and Thibaut Verron},
  journal= {arXiv preprint arXiv:2302.06396},
  year   = {2023}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-28T08:38:49.096Z