de Bruijn-Newman constant

proper noun

A mathematical constant, denoted by Λ, defined via the zeros of a certain function H(λ, z), where λ is a real parameter and z is a complex variable. H has only real zeros if and only if λ ≥ Λ. The Riemann hypothesis is equivalent to the conjecture that Λ ≤ 0.

Meanings

proper noun
  1. mathematicsA mathematical constant, denoted by Λ, defined via the zeros of a certain function H(λ, z), where λ is a real parameter and z is a complex variable. H has only real zeros if and only if λ ≥ Λ. The Riemann hypothesis is equivalent to the conjecture that Λ ≤ 0.

Origin

Named after the mathematicians Nicolaas Govert de Bruijn and Charles M. Newman.

Full word history & related roots →
Cite this entry
APA

de Bruijn-Newman constant. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/de%20Bruijn-Newman%20constant

MLA

“de Bruijn-Newman constant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/de%20Bruijn-Newman%20constant. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “de Bruijn-Newman constant,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/de%20Bruijn-Newman%20constant.

Source: de Bruijn-Newman constant on Wiktionary, CC BY-SA 4.0.