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Values of dirichlet L-functions, gauss sums and trigonometric sums

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Motivated by the classical work of Ramanujan and recent work of Berndt and Zaharescu, we establish certain infinite families of identities relating values of Dirichlet L-functions at positive integers to Gauss sums and trigonometric sums twisted with characters.

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Springer

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Ramanujan Journal

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10.1007/s11139-010-9292-8

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