Definition:O Notation/Big-O Notation/Also known as
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Also denoted as
In analytic number theory, sometimes Vinogradov's notations $f \ll g$ or $g \gg f$ are used to mean $f = \map \OO g$.
This can often be clearer for estimates leading to typographically complex error terms.
Some sources use an ordinary $O$:
- $f = \map O g$