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单词 Möbius Inversion Formula
释义

Möbius Inversion Formula

If , then


where the sums are over all possible Integers that Divide and is theMöbius Function. The Logarithm of the Cyclotomic Polynomial


is the Möbius inversion formula.

See also Cyclotomic Polynomial, Möbius Function


References

Hardy, G. H. and Wright, W. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Oxford University Press, pp. 91-93, 1979.

Schroeder, M. R. Number Theory in Science and Communication, 3rd ed. New York: Springer-Verlag, 1997.

Vardi, I. Computational Recreations in Mathematica. Redwood City, CA: Addison-Wesley, pp. 7-8 and 223-225, 1991.


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更新时间:2024/11/15 2:25:15