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math.NT2008
On the Taylor Coefficients of the Hurwitz Zeta Function
Khristo Boyadzhiev
We find a representation for the Maclaurin coefficients of the Hurwitz zeta-function in terms of semi-convergent series involving the Bernoulli polynomials and the Stirling numbers…
math.NT2008★ 1 cited
Alternating Euler sums at the negative integers
Khristo N. Boyadzhiev, H. Gopalkrishna Gadiyar, R. Padma
We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we…