In number theory, the Mertens function is a function defined for every positive integer as the summatory function of the Möbius function, the running sum of the Möbius function's values up to that integer. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Mertens Function (Wikipedia)
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1. Mertens Function (Wikipedia)
Lead section
In number theory, the Mertens function is defined for all positive integers n as M ( n) = ∑ k = 1 n μ ( k), {\displaystyle M(n)=\sum _{k=1}^{n}\mu (k),} where μ ( k) {\displaystyle \mu (k)} is the Möbius function.
- In Branch: Number Theory, Lead sentence
Attributed To: Franz Mertens, Lead
The function is named in honour of Franz Mertens.
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