English Explanatory Dictionary

Dirichlet eta function

English dictionary entry

Meanings

name
  1. 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)+⋯.

Word forms

Dirichlet eta function

Etymology

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

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