On the existence of permutations conditioned by certain rational functions

Authors :: Guo-Niu Han
Institut de Recherche Mathématique Avancée (IRMA)
Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)
Source :: Electronic Research Archive, Electronic Research Archive, American Institute of Mathematical Sciences, 2020, 28 (1), pp.149-156. ⟨10.3934/era.2020009⟩
Publication Year :: 2020
Publisher :: HAL CCSD, 2020.
Abstract: International audience; We prove several conjectures made by Z.-W. Sun on the existence of permutations conditioned by certain rational functions. Furthermore, we fully characterize all integer values of the "inverse difference" rational function. Our proofs consist of both investigation of the mathematical properties of the rational functions and brute-force attack by computer for finding special permutations.

Language :: English
ISSN :: 26881594
Database :: OpenAIRE
Journal :: Electronic Research Archive, Electronic Research Archive, American Institute of Mathematical Sciences, 2020, 28 (1), pp.149-156. ⟨10.3934/era.2020009⟩
Accession number :: edsair.doi.dedup.....07b62889f8a7a7213571b4ed4a6fd78c

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