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Mathematica
EulerPhi[0] = 0?
Dean Sparrow
Dean Sparrow, Student
Posted
11 years ago
Hello,
How can it be that Phi(0) = 0? I thought it was only defined for positive integers.
Regards,
Dean Sparrow
POSTED BY:
Dean Sparrow
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Dean Sparrow
Dean Sparrow, Student
Posted
11 years ago
I see. Thanks for the information.
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Dean Sparrow
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Shenghui Yang
Shenghui Yang, WOLFRAM
Posted
11 years ago
Bruce was right about this. The general context involves phi(-n) which is equal to phi(n). Thus phi(0) = 0 is a reasonable choice. Also 0 does not have a totative, so phi(0) should be zero.
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Shenghui Yang
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Bruce Miller
Bruce Miller, Wolfram Research
Posted
11 years ago
Multiple conventions? See http://mathworld.wolfram.com/TotientFunction.html.
The Mathematica function EulerPhi is an implementation of phi(n) that handles zero and negative arguments in a convenient manner.
POSTED BY:
Bruce Miller
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