On the Hurwitz Zeta Function

Abstract

We give new integral and series representations of the Hurwitz zeta function. We also provide a closed-form expression of the coefficients of the Laurent expansion of the Hurwitz-zeta function about any point in the complex plane.

References in corpus (1)

• On the zeros of the Riemann Zeta function

Cited by in corpus (4)

• A New Effective Asymptotic Formula for the Stieltjes Constants
• On Some Explicit Formulas for Bernoulli Numbers and Polynomials
• The Riemann Hypothesis: A Qualitative Characterization of the Nontrivial Zeros of the Riemann Zeta Function Using Polylogarithms
• A Necessary Condition for a Nontrivial Zero of the Riemann Zeta Function via the Polylogarithmic Function