High Quality Content by WIKIPEDIA articles! In mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt. In number theory, an arithmetic (or arithmetical) function is a real or complex valued function (n) defined on the set of natural numbers (i.e. positive integers) that "expresses some arithmetical property of n." To emphasise that they are being thought of as functions rather than sequences, values of an arithmetic function are usually denoted by a(n) rather than an. There is a larger class of number-theoretic functions that do not fit the above definition, e.g. the prime-counting functions. This article provides links to functions of both classes.

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