Euler's function (of an integer)

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• Euler's totient function — For other functions named after Euler, see List of topics named after Leonhard Euler. The first thousand values of φ(n) In number theory, the totient φ(n) of a positive integer n is defined to be the number of positive integers less than or equal …   Wikipedia

• Euler–Mascheroni constant — Euler s constant redirects here. For the base of the natural logarithm, e ≈ 2.718..., see e (mathematical constant). The area of the blue region is equal to the Euler–Mascheroni constant. List of numbers – Irrational and suspected irrational… …   Wikipedia

• Euler's formula — This article is about Euler s formula in complex analysis. For Euler s formula in algebraic topology and polyhedral combinatorics see Euler characteristic.   Part of a series of articles on The mathematical constant e …   Wikipedia

• Euler–Maclaurin formula — In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using… …   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

• Euler–Worpitzky–Chen polynomials — Introduction = The Euler Worpitzky Chen polynomials are closely related to the family of Euler Bernoulli polynomials and numbers. The coefficients of the polynomialsare integers, in contrast to the coefficients of the Euler and Bernoulli… …   Wikipedia

• Integer factorization — In number theory, integer factorization is the way of breaking down a composite number into smaller non trivial divisors, which when multiplied together equal the original integer.When the numbers are very large, no efficient integer… …   Wikipedia

• Euler number — For other uses, see Euler number (topology) and Eulerian number. Also see e (mathematical constant),Euler number (physics) and Euler–Mascheroni constant. In mathematics, in the area of number theory, the Euler numbers are a sequence En of… …   Wikipedia

• Euler's phi-function — Math. the function that assigns to each integer the number of positive integers less than the given integer and relatively prime to the given integer. Also called phi function. [named after L. EULER] * * * …   Universalium

• Euler's phi-function — Math. the function that assigns to each integer the number of positive integers less than the given integer and relatively prime to the given integer. Also called phi function. [named after L. EULER] …   Useful english dictionary

• Euler characteristic — In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic is a topological invariant, a number that describes one aspect of a topological space s shape or structure. It is commonly denoted… …   Wikipedia