- completely multiplicative function
- вполне мультипликативная функция
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Completely multiplicative function — In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. Especially in number theory, a weaker condition is also important,… … Wikipedia
Multiplicative function — Outside number theory, the term multiplicative function is usually used for completely multiplicative functions. This article discusses number theoretic multiplicative functions. In number theory, a multiplicative function is an arithmetic… … Wikipedia
Von Mangoldt function — In mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt. Contents 1 Definition 2 Dirichlet series 3 Mellin transform … Wikipedia
Identity function — In mathematics, an identity function, also called identity map or identity transformation, is a function that always returns the same value that was used as its argument. In terms of equations, the function is given by f ( x ) = x… … Wikipedia
Unit function — In number theory, the unit function is a completely multiplicative function on the positive integers defined as::varepsilon(n) = egin{cases} 1, mbox{if }n=1 0, mbox{if }n>1 end{cases} It is called the unit function because it is the identity… … Wikipedia
Multiplicative inverse — The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the… … Wikipedia
Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a … Wikipedia
Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… … Wikipedia
Additive function — Different definitions exist depending on the specific field of application. Traditionally, an additive function is a function that preserves the addition operation:: f ( x + y ) = f ( x ) + f ( y )for any two elements x and y in the domain. An… … Wikipedia
Divisor function — σ0(n) up to n = 250 Sigma function σ … Wikipedia
Dirichlet L-function — In mathematics, a Dirichlet L series is a function of the form Here χ is a Dirichlet character and s a complex variable with real part greater than 1. By analytic continuation, this function can be extended to a meromorphic function on the whole… … Wikipedia