English Explanatory Dictionary

Gelfond-Schneider theorem

English dictionary entry

Meanings

name
  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.

Word forms

Gelfond-Schneider theorem the Gelfond-Schneider theorem

Etymology

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

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