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Gelfond-Schneider theorem

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.

Proper noun

the Gelfond-Schneider theorem

  1. 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.

Origin of Gelfond-Schneider theorem

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

Questions about Gelfond-Schneider theorem

What does Gelfond-Schneider theorem mean?
Gelfond-Schneider theorem means 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.
What part of speech is Gelfond-Schneider theorem?
Gelfond-Schneider theorem is a proper noun.

Words near Gelfond-Schneider theorem in the dictionary

  1. geles
  2. Gelfand
  3. Gelfands
  4. Gelfond
  5. Gelfond's constant
  6. Gelfond-Schneider theorem
  7. Gelgaudiškis
  8. Gelhardt
  9. Gelibolu
  10. gelid
  11. gelidiaceous

Source and license

Adapted from Wiktionary: Gelfond-Schneider theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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