Ingham Tauberian theorem with an estimate for the error term
E. P. Balanzario1and E. Marmolejo-Olea2
Received01 Mar 2003
Revised09 May 2003
Abstract
We estimate the error term in the Ingham Tauberian
theorem. This estimation of the error term is accomplished by
considering an elementary proof of a weak form of Wiener's general
Tauberian theorem and by using a zero-free region for the Riemann
zeta function.