Gelfond-Schneider theorem

proper noun

A theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number.

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Meanings

proper nounthe Gelfond-Schneider theorem
  1. mathematicsA theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number.

Origin

It was originally proved independently in 1934 by Aleksandr Gelfond and Theodor Schneider.

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Cite this entry
APA

Gelfond-Schneider theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Gelfond-Schneider%20theorem

MLA

“Gelfond-Schneider theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Gelfond-Schneider%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Gelfond-Schneider theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Gelfond-Schneider%20theorem.

Source: Gelfond-Schneider theorem on Wiktionary, CC BY-SA 4.0.