Landau-Ramanujan constant

proper noun

The constant of proportionality (approximately 0.7642) in the relationship between the number of positive integers less than x that are the sum of two square numbers, for large x, and the expression x/√(ln (x)).

Meanings

proper noun
  1. mathematicsThe constant of proportionality (approximately 0.7642) in the relationship between the number of positive integers less than x that are the sum of two square numbers, for large x, and the expression x/√(ln (x)).

Origin

After its two independent discoverers, Edmund Landau and Srinivasa Ramanujan.

Full word history & related roots →
Cite this entry
APA

Landau-Ramanujan constant. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Landau-Ramanujan%20constant

MLA

“Landau-Ramanujan constant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Landau-Ramanujan%20constant. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Landau-Ramanujan constant,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Landau-Ramanujan%20constant.

Source: Landau-Ramanujan constant on Wiktionary, CC BY-SA 4.0.