Dirichlet series

名词 n.
中文释义

英文释义

名词 n.
  1. Any infinite series of the form ∑ₙ₌₁ ᪲(a_n)/(nˢ), where s and each a_n are complex numbers. countable,uncountable
    — Traditionally, starting from Euler, multiplicativity of arithmetic sequences is customarily expressed in the form of an Euler product factorization of the generating Dirichlet series. It turns out that in the situation of modular forms, suitable Dirichlet series constructed by Fourier coefficients of eigenfunctions of Hecke operators can be expressed through Dirichlet series formed by the corresponding eigenvalues.

词形变化

Dirichlet series plural Dirichlet's series alternative

词源

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