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Gelfond's

Gelfond's constant

name

(mathematics) The value e^π (approximately 23.140692632779), known to be transcendental.

Gelfond's constant is a mathematical constant named after the mathematician Aleksandr Gelfond.

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Gelfond-Schneider theorem

name

(mathematics) 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.

The Gelfond-Schneider theorem is a fundamental result in transcendental number theory.

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