Arithmetic functions | Generalizations of the derivative | Number theory | Additive functions

Arithmetic derivative

In number theory, the Lagarias arithmetic derivative or number derivative is a function defined for integers, based on prime factorization, by analogy with the product rule for the derivative of a function that is used in mathematical analysis. There are many versions of "arithmetic derivatives", including the one discussed in this article (the Lagarias arithmetic derivative), such as Ihara's arithmetic derivative and Buium's arithmetic derivatives. (Wikipedia).

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Field of fractions | Rational function | Fundamental theorem of algebra | Product rule | Univariate | Derivative | Conjecture | Continuous function | Mathematical analysis | Polynomial | Domain of a function | Rational number | Twin prime conjecture | Polynomial ring | Journal of Integer Sequences | Derivation (differential algebra) | Arithmetic function | P-derivation | Gaussian integer | Quotient rule | Natural number | Prime omega function | Function (mathematics) | Integer | Real number | Eisenstein integer | Number theory | P-adic valuation | Integer sequence | Prime number | Complex number | Irrational number | Unique factorization domain | Goldbach's conjecture