Abstract
Schanuel’s conjecture states that the transcendence degree over ℚ of the 2n-tuple (λ 1 ,⋯,λ n ,e λ 1 ,⋯,e λ n ) is at least n for all λ 1 ,⋯,λ n ∈ℂ which are linearly independent over ℚ; if true it would settle a great number of elementary open problems in number theory, among which the transcendence of e over π.
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