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In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would guarantee the transcendence of at least one of four exponentials. The conjecture, along with two related, stronger conjectures, is at the top of a hierarchy of conjectures and theorems concerning the arithmetic nature of a certain number of values of the exponential function.

Attributes	Values
rdf:type	yago:WikicatConjectures yago:WikicatTranscendentalNumbers yago:Abstraction100002137 yago:Cognition100023271 yago:ComplexNumber113729428 yago:Concept105835747 yago:Content105809192 yago:DefiniteQuantity113576101 yago:Exponential113789462 yago:Function113783816 yago:Hypothesis105888929 yago:Idea105833840 yago:IrrationalNumber113730584 yago:MathematicalRelation113783581 yago:Measure100033615 yago:Number113582013 yago:PsychologicalFeature100023100 yago:RealNumber113729902 yago:Relation100031921 yago:Speculation105891783 yago:TranscendentalNumber113730756 yago:WikicatExponentials
rdfs:label	Four exponentials conjecture (en) Conjecture des quatre exponentielles (fr)
rdfs:comment	In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would guarantee the transcendence of at least one of four exponentials. The conjecture, along with two related, stronger conjectures, is at the top of a hierarchy of conjectures and theorems concerning the arithmetic nature of a certain number of values of the exponential function. (en) En mathématiques, et plus particulièrement en théorie des nombres transcendants, la conjecture des quatre exponentielles est une conjecture qui, étant donné de bonnes conditions sur les exposants, garantirait la transcendance d'au moins une des quatre exponentielles. La conjecture, avec deux conjectures apparentées plus fortes, est au sommet d'une hiérarchie de conjectures et de théorèmes concernant la nature arithmétique d'un certain nombre de valeurs de la fonction exponentielle. (fr)
foaf:depiction
dcterms:subject	Conjectures Transcendental numbers Exponentials Unsolved problems in number theory
Wikipage page ID	15114628 (xsd:integer)
Wikipage revision ID	1124317784 (xsd:integer)
Link from a Wikipage to another Wikipage	Carl Ludwig Siegel Paul Erdős Vector space Conjectures Complex logarithm Complex numbers Transcendental numbers Mathematics Matrix (mathematics) Gelfond–Schneider theorem Nome (mathematics) Conjecture Leonidas Alaoglu Linear algebra Six exponentials theorem Colossally abundant number Acta Arithmetica Exponentials Transcendental number Irrational number Addison-Wesley Algebraic number E (mathematical constant) Euler's identity Exponential function Number theory Rank (linear algebra) J-invariant Baker's theorem Prime number Atle Selberg Unsolved problems in number theory Kanakanahalli Ramachandra Homogeneous polynomial Pi Srinivasa Ramanujan Integer Rational numbers Real number Serge Lang Linearly independent Theodor Schneider Transcendental number theory Superior highly composite number Transactions of the American Mathematical Society Unit disc
Link from a Wikipage to an external page	https://zenodo.org/record/1433496
sameAs	Four exponentials conjecture Four exponentials conjecture Four exponentials conjecture Four exponentials conjecture Four exponentials conjecture
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_conference dbt:Cite_journal dbt:Math dbt:MathWorld dbt:Radic dbt:Reflist dbt:Planetmath_reference dbt:Inconsistent_cite
thumbnail	wiki-commons:Special:FilePath/N-Exponentials_Conjecture.png?width=300
title	Four Exponentials Conjecture (en) Four exponentials conjecture (en)
urlname	FourExponentialsConjecture (en)
has abstract	In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would guarantee the transcendence of at least one of four exponentials. The conjecture, along with two related, stronger conjectures, is at the top of a hierarchy of conjectures and theorems concerning the arithmetic nature of a certain number of values of the exponential function. (en)

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