THE VALUES OF AN EULER SUM AT THE NEGATIVE INTEGERS AND A RELATION TO A CERTAIN CONVOLUTION OF BERNOULLI NUMBERS

Title & Authors
THE VALUES OF AN EULER SUM AT THE NEGATIVE INTEGERS AND A RELATION TO A CERTAIN CONVOLUTION OF BERNOULLI NUMBERS

Abstract
The paper deals with the values at the negative integers of a certain Dirichlet series related to the Riemann zeta function and with the expression of these values in terms of Bernoulli numbers.
Keywords
Dirichlet series;Euler sum;Bernoulli number;Hankel contour integration;
Language
English
Cited by
1.
Ramanujan summation and the exponential generating function $\sum_{k=0}^{\infty}\frac{z^{k}}{k!}\zeta^{\prime}(-k)$, The Ramanujan Journal, 2010, 21, 1, 99
2.
Nonlinear Euler sums, Pacific Journal of Mathematics, 2014, 272, 1, 201
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