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Formula:8452

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Digital Library of Mathematical Functions ID 25.16.E4

ψ ⁡ ( x ) = x + O ⁡ ( x 1 2 + ϵ ) , Chebyshev-psi 𝑥 𝑥 Big-O superscript 𝑥 1 2 italic-ϵ {\displaystyle{\displaystyle\psi\left(x\right)=x+O\left(x^{\frac{1}{2}+% \epsilon}\right),}}


Constraint(s)

x → ∞ → 𝑥 {\displaystyle{\displaystyle x\to\infty}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • ψ ⁡ ( x ) Chebyshev-psi 𝑥 {\displaystyle{\displaystyle\psi\left(\NVar{x}\right)}} : Chebyshev $$\psi$$ -function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:02.
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