English Explanatory Dictionary

Riemann zeta function

English dictionary entry

Meanings

noun
  1. The function ζ defined by the Dirichlet series ζ(s)=∑ₙ₌₁ ᪲1/(nˢ)=1/(1ˢ)+1/(2ˢ)+1/(3ˢ)+1/(4ˢ)+⋯, which is summable for points s in the complex half-plane with real part > 1; the analytic continuation of said function, being a holomorphic function defined on the complex numbers with pole at 1.
  2. A usage of (a specified value of) the Riemann zeta function, such as in an equation.

Word forms

Riemann zeta function Riemann zeta functions Riemann zeta-function Riemann's zeta function

Etymology

Named after German mathematician Bernhard Riemann.

Synonyms

Euler–Riemann zeta function

Related words

Dirichlet eta function Dirichlet series L-function L-series Riemann hypothesis zeta function
This entry uses open data from Wiktionary (CC BY-SA/GFDL). Word forms are used for search and are not indexed as separate pages.
Back to search All on R Russian dictionary Dahl dictionary