Dirichlet series

短语

别名

Dirichlet's series

释义与例句

n.
  1. 1.

    Any infinite series of the form ∑ₙ₌₁ ᪲(a_n)/(nˢ), where s and each a_n are complex numbers.

    可数 不可数 数学

    2014, Marius Overholt, A Course in Analytic Number Theory, American Mathematical Society, page 157, The sum A(s)=∑ₙ₌₁ ᪲a_nn⁻ˢ of a convergent Dirichlet series is a holomorphic (single-valued analytic) function in the half plane σ>σ_c(A), and the terms of the Dirichlet series are holomorphic in the whole complex plane, and the series converges uniformly on every compact subset of σ>σ_c(A) by Proposition 3.3.

词源

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

来源：wiktionary