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#8 2015-10-25 04:11:03
Re: Analytic Number Theory
It would be worthwhile to read this thread first, for the definitions of the terms and functions used in these exercises.
#1
Not true.
Mobius(4) != Mobius(2)*Mobius(2)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#9 2015-10-25 04:35:41
Re: Analytic Number Theory
#2
Once again, isn't that just the definition of what perfect numbers are?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#10 2015-10-25 05:01:05
Re: Analytic Number Theory
Not true.
Mobius(4) != Mobius(2)*Mobius(2)
That is not a counter-example. 2 is not coprime to itself: all you have shown is that it is not totally multiplicative.
Last edited by zetafunc (2015-10-25 05:04:30)
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#11 2015-10-25 05:04:12
Re: Analytic Number Theory
Once again, isn't that just the definition of what perfect numbers are?
Last edited by zetafunc (2015-10-25 05:13:47)
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