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Möbius function
(redirected from Mobius function)

   Also found in: Wikipedia 0.01 sec.
Möbius function [′mər·bē·əs ‚fəŋk·shən]
(mathematics)
The function μ of the positive integers where μ(1) = 1, μ(n) = (-1)rifnfactors intordistinct primes, and μ(n) = 0 otherwise; also, μ(n) is the sum of the primitiventh roots of unity.


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He analyzes the relevance of algebraic structures to number theory in such topics as ordered fields, fields with valuation and other algebraic structures, the role of the Mobius function and of generating functions, semigroups and certain convolution algebras.
The inverse of the zeta function is called the mobius function of the power set of S.
 
 
 
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