What is Average order of an arithmetic function?

In the study of dynamical systems the term Feigenbaum function has been used to describe two different functions introduced by the physicist Mitchell Feigenbaum:

In computer science, a null function is a subroutine that leaves the program state unchanged. When it is part of the instruction set of a processor, it is called a...

A timeline of numerals and arithmetic

In mathematics, particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties. In particular, the Jacobi triple product takes on...

In mathematics, the Lefschetz zeta-function is a tool used in topological periodic and fixed point theory, and dynamical systems. Given a continuous map...

Positive-real functions, often abbreviated to PR function or PRF, are a kind of mathematical function that first arose in electrical network synthesis. They are complex functions, Z, of a complex...

Maximal functions appear in many forms in harmonic analysis. One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example,...

In mathematics, the Witten zeta function, is a function associated to a root system that encodes the degrees of the irreducible representations of the corresponding Lie group. These zeta functions...

In mathematical logic, Skolem arithmetic is the first-order theory of the natural numbers with multiplication, named in honor of Thoralf Skolem. The signature of Skolem arithmetic contains only the multiplication...

In baseball statistics, batting average against , also known as opponents' batting average , is a statistic that measures a pitcher's ability to prevent hits during official at bats. It...