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On linear combinations of special values of L-functions

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Using a specific evaluation method for L-functions, it is shown that character values and weighted averages of Gauss sums can be well approximated by linear combinations of the algebraic parts of special values of L-functions under correct parity conditions. This is a surprising universal property of these special values since the coefficients of the resulting combinations turn out to be independent of the character but its parity.

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Springer

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Mathematics

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Manuscripta Mathematica

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10.1007/s00229-011-0526-x

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