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Topic: irrationality measure
Replies: 18   Last Post: Aug 13, 2012 11:29 AM

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Posts: 137
Registered: 3/4/09
irrationality measure
Posted: Aug 9, 2012 2:37 AM
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there exist q_0 such as for all p/q with q>q_0 and gcd(p,q)=1
one have |pi-p/q|>1/q^24
(24 is a measure of irrationality of pi)


pi has not rational approximation with order 24

(one cannot find C>0 and infinity of p/q (gcd(p,q)=1) with
|pi-p/q|<=C/q^24 )

why 1<=>2 ?
for 2=>1 no pb
for 1=>2?


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