A Tauberian theorem for Ingham summation method
classification
🧮 math.NT
keywords
tauberiantheoreminghammethodproveanalyzeappliedasymptotics
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The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove is then applied to analyze asymptotics of mean values of multiplicative functions on natural numbers.
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