Mertens function

From Number
Jump to: navigation, search
This article is about a function defined on positive reals (and in particular, natural numbers) obtained as the summatory function of an arithmetic function, namely Mobius function.
View other such summations


Let be a positive real number. The Mertens function of , denoted , is defined as:


Here, denotes the Mobius function.

We typically evaluate the Mertens function for natural numbers.


The ID of the sequence in the Online Encyclopedia of Integer Sequences is A002321