DLMF:25.16.E2 (Q7757)

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Language	Label	Description	Also known as
English	DLMF:25.16.E2	No description defined

Statements

Defining formula

{\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),}}

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DLMF:25.16.E2

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

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Chebyshev $$\psi$$ -function

Defining formula

{\displaystyle{\displaystyle\psi\left(\NVar{x}\right)}}

C25.S16.E1.m2aadec

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Riemann zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

C25.S2.E1.m2adec

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order less than

Defining formula

{\displaystyle{\displaystyle o\left(\NVar{x}\right)}}

C2.S1.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C25.S1.XMD5.m1adec

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