Type: Article

A Riemann-Siegel formula for the Hurwitz zeta function

Eugenio P. Balanzario;

Abstract:

Following H.M. Edwards [3], we compute a Riemann-Siegel formula for the Hurwitz zeta function and hence for Dirichlet series with periodic coefficients. By giving a complete estimate for the error term, we show that our Riemann-Siegel formula for the Hurwitz zeta function represents an asymptotic series.