My Math Forum A function to be noted very carefully in relation to the zeta function

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 May 6th, 2016, 02:39 PM #11 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves lol so prime number counting function, the fundamental theorem of arithmetic, things like this not relevant to number theory? you have no clue what you are talking about.
 May 6th, 2016, 04:55 PM #12 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,600 Thanks: 2588 Math Focus: Mainly analysis and algebra I never said "not relevant to number theory". I said that it's not important to a large part of number theory. You would be correct if the prime number counting function were a large part of number theory, but it's not. And the fundamental theorem of arithmetic does require the zeta function at all. Your problem is that you believe that what you work on and only that is of any importance.
 May 6th, 2016, 05:48 PM #13 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves ok so if prime numbers are not important to number theory, and there is more important things other than this subject and the zeta function, then you must be also including the constant pi, the euler product, gamma function, hence Dirichlet eta function,Von Mangoldt function,MÃ¶bius function, Liouville function, all of these are also less important in number theory than something, please, tell me what that something is I want to hear this.
 May 6th, 2016, 05:49 PM #14 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves that list is much longer but the fact that I need to tell you that indicates you have not studied number theory for very long at all.
 May 6th, 2016, 06:00 PM #15 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves And if I believed only my ideas were good then why is it a list of names that long is in the front of my mind?
May 6th, 2016, 06:36 PM   #16
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Quote:
 Originally Posted by Adam Ledger ok so if prime numbers are not important to number theory
I never said that prime numbers are not important. The zeta function is relevant to only a part of the subject of primes though.

You are right, the subject of number theory covers many, many, topics. And most of them are not connected with the zeta function. The list you give is an indication of just how narrow your view of number theory is. More or less every one of them is referenced on the Wikipedia page on prime counting functions.

But this bickering isn't really achieving anything.

Last edited by v8archie; May 6th, 2016 at 06:41 PM.

May 7th, 2016, 01:40 AM   #17
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ok archie I'm sorry being rude. I'm guessing is just need to post over a 2000 times to get a green math team badge right? well this is the one I'm studying this year.
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Last edited by Adam Ledger; May 7th, 2016 at 01:50 AM.

May 7th, 2016, 02:06 AM   #18
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Quote:
 Originally Posted by Adam Ledger I'm guessing is just need to post over a 2000 times to get a green math team badge right?
Don't think that's how it works xD.

 May 7th, 2016, 02:47 AM #19 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves so... is this a similar deal to those celebrity face book posts where there are a few million short abusive comments with 0 likes and 1 very lengthy supportive comment with 435476578687 likes?
 May 7th, 2016, 02:52 AM #20 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves oh and a very significant point regarding the last one, also note the domain upon which the symmetry is broken between the two curves.

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