On the Hurwitz Zeta Function

Lazhar Fekih-Ahmed (1)

1 ENIT - Ecole Nationale d'Ingénieurs de Tunis

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.

Mots clés: Number Theory; Hurwitz Zeta function

Domaines: Théorie des nombres [math.NT]

Lazhar Fekih-Ahmed. On the Hurwitz Zeta Function. 2012. ⟨hal-00602532v2⟩