Formula:8450

Digital Library of Mathematical Functions ID 25.16.E2

${\displaystyle{\displaystyle\psi\left(x\right)=x-\frac{\zeta'\left(0\right)}{\zeta\left(0\right)}-\sum_{\rho}\frac{x^{\rho}}{\rho}+o\left(1\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\to\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\psi\left(\NVar{x}\right)}}$: Chebyshev $$\psi$$ -function
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle o\left(\NVar{x}\right)}}$: order less than
• ${\displaystyle{\displaystyle x}}$: real variable
 

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