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arxiv: 1212.0441 · v1 · pith:GUOQ4QIQnew · submitted 2012-11-30 · 🧮 math.CA

Some applications of the Dirichlet integrals to the summation of series and the evaluation of integrals involving the Riemann zeta function

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keywords integralsseriesdirichletevaluationsummationapplicationsdevelopsemployed
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Using the Dirichlet integrals, which are employed in the theory of Fourier series, this paper develops a useful method for the summation of series and the evaluation of integrals.

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