A Tauberian theorem for Ingham summation method
نویسنده
چکیده
The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Taube-rian theorem we prove can be used to analyze asymptotics of mean values of multiplicative functions on natural numbers.
منابع مشابه
Ingham Tauberian Theorem with an Estimate for the Error Term
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. 1. Introduction. As an important application of his general Tauberian theorem (GTT), in 1932, Wiener [6] gave a new proof of the prime n...
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