Displaying similar documents to “Vacca-type series for values of the generalized Euler constant function and its derivative.”

On weighted densities

Rita Giuliano-Antonini, Georges Grekos, Ladislav Mišík (2007)

Czechoslovak Mathematical Journal

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The continuity of densities given by the weight functions n α , α [ - 1 , [ , with respect to the parameter α is investigated.

An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial

Hideaki Ishikawa, Kohji Matsumoto (2011)

Open Mathematics

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We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first author in his study on mean values of Dirichlet L-functions.