Apéry's constant

proper noun

The number ζ(3)=∑ₙ₌₁ ᪲1/(n³), where ζ is the Riemann zeta function, with a value of approximately 1.2020569…

Meanings

proper noun
  1. mathematicsThe number ζ(3)=∑ₙ₌₁ ᪲1/(n³), where ζ is the Riemann zeta function, with a value of approximately 1.2020569…

Origin

Named after French mathematician Roger Apéry who proved in 1978 that it is an irrational number.

Full word history & related roots →
Cite this entry
APA

Apéry's constant. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Ap%C3%A9ry's%20constant

MLA

“Apéry's constant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Ap%C3%A9ry's%20constant. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Apéry's constant,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Ap%C3%A9ry's%20constant.

Source: Apéry's constant on Wiktionary, CC BY-SA 4.0.