Extremal orders of an arithmetic function
id:
extremal-orders-of-an-arithmetic-function-289-11474353
title:
Extremal orders of an arithmetic function
text:
In mathematics, specifically in number theory, the extremal orders of an arithmetic function are best possible bounds of the given arithmetic function. Specifically, if f(n) is an arithmetic function and m(n) is a non-decreasing function that is ultimately positive and we say that m is a minimal order for f. Similarly if M(n) is a non-decreasing function that is ultimately positive and we say that M is a maximal order for f. Here, lim inf n → ∞ and lim sup n → ∞ denote the limit inferior and lim
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https://en.wikipedia.org/wiki/Extremal_orders_of_an_arithmetic_function
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2021-11-21T03:56:34Z
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