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Statements

Subject Item
dbr:Four_exponentials_conjecture
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rdfs:label
Conjecture des quatre exponentielles Four exponentials conjecture
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 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.
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dbp:title
Four Exponentials Conjecture Four exponentials conjecture
dbp:urlname
FourExponentialsConjecture
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 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.
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