Etymology

Dirichlet eta function

Today it means: 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)+⋯. Full definition →

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The story

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

Etymology from Wiktionary, CC BY-SA 4.0.