Elementary Proof of Yu. V. Nesterenko Expansion of the Number Zeta(3) in Continued Fraction
Yu. V. Nesterenko has proved that ζ(3)=b0+a1|/|b1+⋯+aν|/|bν+⋯, b0=b1=a2=2, a1=1,b2=4, b4k+1=2k+2, a4k+1=k(k+1), b4k+2=2k+4, and a4k+2=(k+1)(k+2) for k∈ℕ; b4k+3=2k+3, a4k+3=(k+1)2, and b4k+4=2k+2, a4k+4=(k+2)2 for k&am...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/143521 |