Riemann hypothesis and number theory


by l-1j-cho
Tags: hypothesis, number, riemann, theory
l-1j-cho
l-1j-cho is offline
#1
Mar2-11, 07:40 PM
P: 110
Would the field of the number theory collapse or flourish if the Riemann Hypothesis is proved as true???
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Mensanator
Mensanator is offline
#2
Mar3-11, 12:33 AM
P: 105
Quote Quote by l-1j-cho View Post
Would the field of the number theory collapse or flourish if the Riemann Hypothesis is proved as true???
There are theorems that depend on it being true.
l-1j-cho
l-1j-cho is offline
#3
Mar3-11, 04:11 PM
P: 110
Quote Quote by Mensanator View Post
There are theorems that depend on it being true.
Oh I mean if the property of prime numbers is revealed, would the number theory no longer useful or something?

Mensanator
Mensanator is offline
#4
Mar4-11, 08:44 PM
P: 105

Riemann hypothesis and number theory


Quote Quote by l-1j-cho View Post
Oh I mean if the property of prime numbers is revealed, would the number theory no longer useful or something?
Number theory would still be useful, it's just that you might not be able to make certain assumptions. Things like The Fundamental Theorem of Arithmetic would still hold.


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