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Paper
IPM / M / 8008 |
School of Mathematics
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Title: |
Irrationality of certain numbers that contain values of the di- and trilogarithm
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Author(s): |
| 1. |
Kh. Hessami Pilehrood
| | 2. |
T. Hessami Pilehrood (Joint with W. Zudilin)
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Status: |
Published
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Journal: |
Math. Z.
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Vol.: |
254
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Year: |
2006
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Pages: |
299-313
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Supported by: |
IPM
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Abstract: |
We prove that, for z ∈ {1/2,2/3,3/4,4/5}, at least one of the
two numbers
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∞
∑
l=1
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zl
l2
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+log(1−z)logz and |
∞
∑
l=1
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zl
l3
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+ |
1
2
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log(1−z)log2z |
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is
irrational.
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