Dirichlet eta function

proper noun

The alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯.

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Meanings

proper noun
  1. mathematical analysisThe alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯.

Origin

Named after German mathematician Peter Gustav Lejeune Dirichlet (1805–1859).

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Cite this entry
APA

Dirichlet eta function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/Dirichlet%20eta%20function

MLA

“Dirichlet eta function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Dirichlet%20eta%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “Dirichlet eta function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/Dirichlet%20eta%20function.

Source: Dirichlet eta function on Wiktionary, CC BY-SA 4.0.