Heegner number

noun

A squarefree positive integer d such that the imaginary quadratic field Q(√(−d)) has class number 1; equivalently, such that its ring of integers has unique factorization.

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Meanings

nounHeegner number (plural Heegner numbers)

plural Heegner numbers

  1. mathematicsA squarefree positive integer d such that the imaginary quadratic field Q(√(−d)) has class number 1; equivalently, such that its ring of integers has unique factorization.

Origin

Named after Kurt Heegner, German mathematician.

Full word history & related roots →
Cite this entry
APA

Heegner number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Heegner%20number

MLA

“Heegner number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Heegner%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Heegner number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Heegner%20number.

Source: Heegner number on Wiktionary, CC BY-SA 4.0.