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

dc.rights.license	CC BY	eng
dc.contributor.author	Hubálovský, Štěpán	cze
dc.contributor.author	Trojovská, Eva	cze
dc.date.accessioned	2025-12-05T09:22:38Z
dc.date.available	2025-12-05T09:22:38Z
dc.date.issued	2020	eng
dc.identifier.issn	2227-7390	eng
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1121
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"	eng
dc.language.iso	eng	eng
dc.publisher	MDPI-Molecular diversity preservation international	eng
dc.relation.ispartof	Mathematics, volume 8, issue: 10	eng
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	eng
dc.identifier.obd	43876908	eng
dc.identifier.doi	10.3390/math8101687	eng
dc.publicationstatus	postprint	eng
dc.peerreviewed	yes	eng
dc.source.url	https://www.mdpi.com/2227-7390/8/10/1687	cze
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/10/1687	eng
dc.rights.access	Open Access	eng