Word.ws English Dictionary

Dirichlet eta function

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)+⋯.

Proper noun

Dirichlet eta function

  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)+⋯.

Origin of Dirichlet eta function

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

Questions about Dirichlet eta function

What does Dirichlet eta function mean?
Dirichlet eta function 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)+⋯.
What part of speech is Dirichlet eta function?
Dirichlet eta function is a proper noun.

Words near Dirichlet eta function in the dictionary

  1. Dirichlet characters
  2. Dirichlet distribution
  3. Dirichlet distributions
  4. Dirichlet energies
  5. Dirichlet energy
  6. Dirichlet eta function
  7. Dirichlet problem
  8. Dirichlet problems
  9. Dirichlet process
  10. Dirichlet processes
  11. Dirichlet series

Source and license

Adapted from Wiktionary: Dirichlet eta function (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Dirichlet eta function.” Word.ws, https://word.ws/dirichlet_eta_function. Based on Wiktionary, CC BY-SA 4.0.