\(q\)-Apéry irrationality proofs by \(q\)-WZ pairs (Q1271893)
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| Language | Label | Description | Also known as |
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| English | \(q\)-Apéry irrationality proofs by \(q\)-WZ pairs |
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\(q\)-Apéry irrationality proofs by \(q\)-WZ pairs (English)
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21 January 1999
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The authors improve the irrationality measure of \[ \sum^\infty_{k=1} {1\over q^k- 1}\quad\text{and} \quad \sum^\infty_{n=1} {(1)^n\over q^n- 1} \] (\(q\) is an integer, \(| q|>1\)) to 4.80. The proofs use the so-called Apéry method of the irrationality of \(\zeta(3)\).
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irrationality measure
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Apéry method
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