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The Möbius Function (and squarefree numbers)
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| Organization: | Wolfram Research, Inc. |
| Department: | Scientific Information Group |
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2003-11-01
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In 1831, August Ferdinand Möbius put numbers into 3 bins, as a new type of function. His procedure is represented by the Greek letter mu (µ), and is called the Möbius function in his honor.
This notebook describes some of the many fascinating properties of the MoebiusMu function, including a tool for factorization involving nontrivial zeros of the Riemann Zeta function. If there is a history for guessing MoebiusMu via this technique, please contact the author.
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Moebius, Zeta, Mertens, factorization
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http://functions.wolfram.com/NumberTheoryFunctions/MoebiusMu/
http://mathworld.wolfram.com/MoebiusFunction.html
http://www.maa.org/editorial/mathgames/mathgames_11_03_03.html
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| MoebiusMuFunction.nb (36.1 KB) - Mathematica Notebook |
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