Transcendence Certificates for D-finite Functions

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 s...

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Published in:arXiv.org
Main Authors: Kauers, Manuel, Koutschan, Christoph, Verron, Thibaut
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 19.09.2023
ISSN:2331-8422
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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.
AbstractList 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.
Author Verron, Thibaut
Koutschan, Christoph
Kauers, Manuel
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  givenname: Thibaut
  surname: Verron
  fullname: Verron, Thibaut
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