Schanuel's conjecture

Summary

Schanuel's conjecture is a conjecture^[1]. It ranks in the top 5% of conjecture entities by monthly Wikipedia readership (223 views/month).^[2]

Key Facts

• Schanuel's conjecture's instance of is recorded as conjecture^[3].
• Stephen Schanuel is named after Schanuel's conjecture^[4].
• Schanuel's conjecture's Freebase ID is recorded as /m/06gf5k^[5].
• Schanuel's conjecture's defining formula is recorded as \forall z_1,\dots,z_n\in\mathbb C\colon\dim(\mathbb Qz_1+\cdots+\mathbb Qz_n)=n\implies\operatorname{trdeg}_{\mathbb Q}\mathbb Q(z_1,\dots,z_n,\exp z_1,\dots,\exp z_n)\ge n^[6].
• Schanuel's conjecture's studied by is recorded as transcendental number theory^[7].
• Schanuel's conjecture's MathWorld ID is recorded as SchanuelsConjecture^[8].
• Schanuel's conjecture's nLab ID is recorded as Schanuel's conjecture^[9].
• Schanuel's conjecture's maintained by WikiProject is recorded as WikiProject Mathematics^[10].
• Schanuel's conjecture's Microsoft Academic ID is recorded as 2779951699^[11].
• Schanuel's conjecture's ProofWiki ID is recorded as Schanuel's_Conjecture^[12].
• Schanuel's conjecture's in defining formula is recorded as \mathbb C^[13].
• Schanuel's conjecture's in defining formula is recorded as \dim^[14].
• Schanuel's conjecture's in defining formula is recorded as \mathbb Q^[15].
• Schanuel's conjecture's in defining formula is recorded as \operatorname{trdeg}^[16].
• Schanuel's conjecture's in defining formula is recorded as \exp^[17].
• Schanuel's conjecture's generalization of is recorded as Lindemann–Weierstrass theorem^[18].
• Schanuel's conjecture's generalization of is recorded as Baker's theorem^[19].
• Schanuel's conjecture's generalization of is recorded as Gelfond–Schneider theorem^[20].
• Schanuel's conjecture's generalization of is recorded as Four exponentials conjecture^[21].

Body

Designation and Status

Schanuel's conjecture's instance of is recorded as conjecture^[3].

History and Context

Stephen Schanuel is named after Schanuel's conjecture^[4].

Why It Matters

Schanuel's conjecture ranks in the top 5% of conjecture entities by monthly Wikipedia readership (223 views/month).^[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.^[22] It is known by 3 alternative names across languages and contexts.^[23]