Riemann zeta function (English, noun)
expansion: Riemann zeta function (usually uncountable, plural Riemann zeta functions)
Senses:
topics: analytic-number-theory
mathematics
number-theory
sciences
glosses: 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.
tags: uncountable
usually
glosses: A usage of (a specified value of) the Riemann zeta function, such as in an equation.
tags: countable
usually
Forms:
form: Riemann zeta functions
tags: plural
form: Riemann zeta-function
tags: alternative
form: Riemann's zeta function
tags: alternative