Série de Dirichlet

Em matemática uma série de Dirichlet é qualquer série cuja forma geral é

onde s é um número complexo e an é uma sequência definida no corpo dos números complexos.

A série de Dirichlet tem grande importância na teoria analítica dos números. Seu nome deve-se ao matemático alemão Johann Peter Gustav Lejeune Dirichlet. Um importante caso particular (an = 1) é a função zeta de Riemann.

Esta série também é conhecida como p-séries.

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