English Dictionary

Dirichlet eta function

name

(mathematics, mathematical analysis) 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)+⋯.

The Dirichlet eta function is a special function in mathematics.

意味（1）

(mathematics, mathematical analysis) 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)+⋯.