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arithmetical convolution

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  • Dirichlet convolution — In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Johann Peter Gustav Lejeune Dirichlet, a German mathematician. Contents 1 Definition 2… …   Wikipedia

  • Eisenstein series — This article describes holomorphic Eisenstein series; for the non holomorphic case see real analytic Eisenstein series In mathematics, Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with… …   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

  • Discrete Hartley transform — A discrete Hartley transform (DHT) is a Fourier related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous applications in signal processing and related fields. Its main distinction from the DFT… …   Wikipedia

  • Fast Fourier transform — A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex number arithmetic to group …   Wikipedia

  • Normal distribution — This article is about the univariate normal distribution. For normally distributed vectors, see Multivariate normal distribution. Probability density function The red line is the standard normal distribution Cumulative distribution function …   Wikipedia

  • Pascal's triangle — The first six rows of Pascal s triangle In mathematics, Pascal s triangle is a triangular array of the binomial coefficients in a triangle. It is named after the French mathematician, Blaise Pascal. It is known as Pascal s triangle in much of the …   Wikipedia

  • Moving average — For other uses, see Moving average (disambiguation). In statistics, a moving average, also called rolling average, rolling mean or running average, is a type of finite impulse response filter used to analyze a set of data points by creating a… …   Wikipedia

  • Bell series — In mathematics, the Bell series is a formal power series used to study properties of arithmetical functions. Bell series were introduced and developed by Eric Temple Bell.Given an arithmetic function f and a prime p, define the formal power… …   Wikipedia

  • Permutation — For other uses, see Permutation (disambiguation). The 6 permutations of 3 balls In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting (rearranging) objects or values.… …   Wikipedia

  • Divisor function — σ0(n) up to n = 250 Sigma function σ …   Wikipedia

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