Tauberian theorems for sequences linked by a convolution

Warlimont, Richard (1998) Tauberian theorems for sequences linked by a convolution. MATHEMATISCHE NACHRICHTEN, 193 (1). pp. 211-234. ISSN 0025-584X, 1522-2616

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Abstract

Given sequences g, lambda : IN0 --> C, g(0) = 1, linked by the convolution lambda * g = g' (g'(n) : = (n + l)g(n + 1)) we study what can be inferred about lambda (n --> infinity) from some concrete information about the behaviour of g (n --> infinity).

Item Type: Article
Uncontrolled Keywords: PRIME NUMBER THEOREM; FUNCTION-FIELDS; SEMIGROUPS; sequences; Tauberian theorems
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Mar 2023 09:32
Last Modified: 01 Mar 2023 09:32
URI: https://pred.uni-regensburg.de/id/eprint/50257

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