- Mobius function
- функция f Мёбиуса
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Mobius function
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Möbius function — This article is about the number theoretic Möbius function. For the combinatorial Möbius function, see incidence algebra. For the rational functions defined on the complex numbers, see Möbius transformation. The classical Möbius function μ(n) is… … Wikipedia
Möbius inversion formula — In mathematics, the classic Möbius inversion formula was introduced into number theory during the 19th century by August Ferdinand Möbius. Other Möbius inversion formulas are obtained when different local finite partially ordered sets replace the … Wikipedia
Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − … Wikipedia
Möbius transform — The Möbius transform should not be confused with Möbius transformations. In mathematics, the Möbius transform Tf of a function f defined on the positive integers is defined by where μ is the classic Möbius function. In more common usage, the… … Wikipedia
Mobius Artists Group — The Mobius Artists Group is an interdisciplinary group of artists, founded in 1977 by Marilyn Arsem in Boston, Massachusetts as Mobius Theater. It is known for incorporating a wide range of visual, performing and media arts into live performance … 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
Mertens function — to n=10,000 Mertens function to n=10,000,000 In … Wikipedia
August Ferdinand Möbius — Infobox Scientist box width = 300px name = August Möbius image size = 300px caption = August Ferdinand Möbius (1790 ndash;1868) birth date = November 17, 1790 birth place = Schulpforta, Saxony Anhalt, Germany death date = September 26, 1868 death … 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
Proofs involving the totient function — This page provides proofs for identities involving the totient function varphi(k) and the Möbius function mu(k).um of integers relatively prime to and less than or equal to n Claim::sum {1le kle n atop {gcd(k,n)=1 k = frac{1}{2} , varphi(n) ,… … Wikipedia
Fonction De Möbius — Pour les articles homonymes, voir Moebius. August Ferdinand Möbius est le premier à étudier systématiquement la fonction qui por … Wikipédia en Français
