Algebraic Numbers of the form alpha(T) with alpha Algebraic and T Transcendental

dc.contributor.author	Hubálovský, Štěpán
dc.contributor.author	Trojovská, Eva
dc.date.accessioned	2025-12-05T09:22:38Z
dc.date.available	2025-12-05T09:22:38Z
dc.date.issued	2020
dc.description.abstract	Let alpha not equal 1 be a positive real number and let P(x) be a non-constant rational function with algebraic coefficients. In this paper, in particular, we prove that the set of algebraic numbers of the form alpha P(T), with T transcendental, is dense in some open interval of R.	eng
dc.format	p. "Article Number: 1687"
dc.identifier.doi	10.3390/math8101687
dc.identifier.issn	2227-7390
dc.identifier.obd	43876908
dc.identifier.scopus	2-s2.0-85092902230
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1121
dc.identifier.wos	000585251600001
dc.language.iso	eng
dc.peerreviewed	yes
dc.publicationstatus	postprint
dc.publisher	MDPI-Molecular diversity preservation international
dc.relation.ispartof	Mathematics, volume 8, issue: 10	eng
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/10/1687
dc.rights.access	Open Access
dc.rights.license	CC BY
dc.source.url	https://www.mdpi.com/2227-7390/8/10/1687
dc.subject	Gelfond-Schneider theorem	eng
dc.subject	algebraic numbers	eng
dc.subject	transcendence	eng
dc.subject	Schanuel's conjecture	eng
dc.title	Algebraic Numbers of the form alpha(T) with alpha Algebraic and T Transcendental	eng
dc.type	article

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