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A214552
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Decimal expansion of the Dirichlet L-series of the non-principal character mod 6 evaluated at s=2.
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3
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9, 7, 6, 6, 2, 8, 0, 1, 6, 1, 2, 0, 6, 0, 7, 8, 7, 1, 0, 8, 3, 9, 8, 4, 2, 8, 7, 0, 3, 0, 1, 1, 5, 4, 4, 5, 4, 5, 6, 4, 1, 7, 9, 2, 0, 6, 8, 1, 6, 0, 6, 7, 7, 5, 2, 7, 7, 6, 2, 5, 0, 7, 8, 7, 0, 8, 6, 0, 8, 7, 3, 0, 8, 1, 4, 5, 2, 2, 7, 7, 2, 6, 1, 6, 0, 8, 6, 9, 6, 3, 5, 4, 0, 2, 6, 2, 3, 2, 6, 2, 7, 6, 3, 0, 2
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OFFSET
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0,1
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COMMENTS
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The non-principal character is A134667. The constant is sum_{n>=1} A134667(n)/n^s with s=2.
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LINKS
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FORMULA
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EXAMPLE
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0.97662801612060787108398...= 1/1^2 -1/5^2 +1/7^2 -1/11^2 + 1/13^2 -1/17^2 +-...
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MAPLE
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evalf( (Psi(1, 1/6)-Psi(1, 5/6))/36) ;
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MATHEMATICA
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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