Apéry's constant: Difference between revisions
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m (Correction re A.Markov representation (not born till 1856).) |
(→{{header|Wren}}: Added a verification of actual value using Wren-GMP (MPFR under the hood).) |
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First 20 terms of Wedeniwski representation truncated to 100 decimal places: |
First 20 terms of Wedeniwski representation truncated to 100 decimal places: |
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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</pre> |
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We can also verify the actual value of Apéry's constant to 100 decimal places using MPFR which has a zeta function built in. A precision of 324 bits is needed. |
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{{libheader|Wren-gmp}} |
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<syntaxhighlight lang="ecmascript">import "./gmp" for Mpf |
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var x = Mpf.new(324) |
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var zeta = x.zetaUi(3) |
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System.print(zeta.toString(101))</syntaxhighlight> |
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{{out}} |
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<pre> |
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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</pre> |
</pre> |