| dbo: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) 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) |
| dbo:thumbnail |
wiki-commons:Special:FilePath/N-Exponentials_Conjecture.png?width=300 |
| dbo:wikiPageExternalLink |
https://zenodo.org/record/1433496 |
| dbo:wikiPageID |
15114628 (xsd:integer) |
| dbo:wikiPageLength |
18576 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1124317784 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Carl_Ludwig_Siegel dbr:Paul_Erdős dbr:Vector_space dbc:Conjectures dbr:Complex_logarithm dbr:Complex_numbers dbc:Transcendental_numbers dbr:Mathematics dbr:Matrix_(mathematics) dbr:Gelfond–Schneider_theorem dbr:Nome_(mathematics) dbr:Conjecture dbr:Leonidas_Alaoglu dbr:Linear_algebra dbr:Six_exponentials_theorem dbr:Colossally_abundant_number dbr:Acta_Arithmetica dbc:Exponentials dbr:Transcendental_number dbr:Irrational_number dbr:Addison-Wesley dbr:Algebraic_number dbr:E_(mathematical_constant) dbr:Euler's_identity dbr:Exponential_function dbr:Number_theory dbr:Rank_(linear_algebra) dbr:J-invariant dbr:Baker's_theorem dbr:Prime_number dbr:Atle_Selberg dbc:Unsolved_problems_in_number_theory dbr:Kanakanahalli_Ramachandra dbr:Homogeneous_polynomial dbr:Pi dbr:Srinivasa_Ramanujan dbr:Integer dbr:Rational_numbers dbr:Real_number dbr:Serge_Lang dbr:Linearly_independent dbr:Theodor_Schneider dbr:Transcendental_number_theory dbr:Superior_highly_composite_number dbr:Transactions_of_the_American_Mathematical_Society dbr:Unit_disc dbr:File:N-Exponentials_Conjecture.png |
| dbp:title |
Four Exponentials Conjecture (en) Four exponentials conjecture (en) |
| dbp:urlname |
FourExponentialsConjecture (en) |
| 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 |
| dcterms:subject |
dbc:Conjectures dbc:Transcendental_numbers dbc:Exponentials dbc:Unsolved_problems_in_number_theory |
| gold:hypernym |
dbr:Conjecture |
| 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: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) |
| rdfs:label |
Four exponentials conjecture (en) Conjecture des quatre exponentielles (fr) |
| owl:sameAs |
freebase:Four exponentials conjecture yago-res:Four exponentials conjecture wikidata:Four exponentials conjecture dbpedia-fr:Four exponentials conjecture https://global.dbpedia.org/id/4jWU4 |
| prov:wasDerivedFrom |
wikipedia-en:Four_exponentials_conjecture?oldid=1124317784&ns=0 |
| foaf:depiction |
wiki-commons:Special:FilePath/N-Exponentials_Conjecture.png |
| foaf:isPrimaryTopicOf |
wikipedia-en:Four_exponentials_conjecture |
| is dbo:wikiPageRedirects of |
dbr:Four_Exponentials_Conjecture dbr:Three_exponentials_conjecture dbr:Sharp_four_exponentials_conjecture dbr:Sharp_three_exponentials_conjecture dbr:Strong_four_exponentials_conjecture dbr:Strong_three_exponentials_conjecture dbr:Weak_four_exponentials_conjecture |
| is dbo:wikiPageWikiLink of |
dbr:List_of_conjectures dbr:Schanuel's_conjecture dbr:Six_exponentials_theorem dbr:Colossally_abundant_number dbr:Transcendental_number dbr:Baker's_theorem dbr:Four_Exponentials_Conjecture dbr:List_of_unsolved_problems_in_mathematics dbr:Three_exponentials_conjecture dbr:Sharp_four_exponentials_conjecture dbr:Sharp_three_exponentials_conjecture dbr:Strong_four_exponentials_conjecture dbr:Strong_three_exponentials_conjecture dbr:Weak_four_exponentials_conjecture |
| is foaf:primaryTopic of |
wikipedia-en:Four_exponentials_conjecture |
