Word.ws English Dictionary

Gelfond's constant

Gelfond's constant proper noun: the value e^π (approximately 23.140692632779), known to be transcendental.

Proper noun

Gelfond's constant

  1. The value e^π (approximately 23.140692632779), known to be transcendental.
    • Gelfond's constant satisfies the identity
      e^π=(-1)⁻ⁱ
      Therefore, the roots of the Riemann zeta function are defined by geometrical constraints of the discrete partial sums of the Dirichlet series terms by continuous and geometrically equivalent envelopes defined by powers of Gelfond's constant.2009, Samuel W. Gilbert, The Riemann Hypothesis and the Roots of the Riemann Zeta Function, BookSurge Publishing, page 93
    • and we have the promised appearance of Gelfond's constant.2007, Julian Havil, Nonplussed!: Mathematical Proof of Implausible Ideas, Princeton University Press, page 143, This means that ∑ₙₑᵥₑₙV_n(1)=∑ₘ₌₁ ᪲V_2m(1)=∑ₘ₌₁ ᪲(πᵐ)/(m!)=e^π-1

Origin of Gelfond's constant

After Soviet mathematician Алекса́ндр О́сипович Ге́льфонд (Alexander Osipovich Gelfond).

Questions about Gelfond's constant

What does Gelfond's constant mean?
Gelfond's constant means the value e^π (approximately 23.140692632779), known to be transcendental.
What part of speech is Gelfond's constant?
Gelfond's constant is a proper noun.

Words near Gelfond's constant in the dictionary

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

Source and license

Adapted from Wiktionary: Gelfond's constant (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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