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  5. Corrigendum to “A simple proof of the Wiener–Ikehara Tauberian Theorem” [Expo. Math. 42 (2024) 125570] (Expositiones Mathematicae (2024) 42(3), (S0723086924000379), (10.1016/j.exmath.2024.125570))
 
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Corrigendum to “A simple proof of the Wiener–Ikehara Tauberian Theorem” [Expo. Math. 42 (2024) 125570] (Expositiones Mathematicae (2024) 42(3), (S0723086924000379), (10.1016/j.exmath.2024.125570))

Source
Expositiones Mathematicae
ISSN
07230869
Date Issued
2024-09-01
Author(s)
Murty, M. Ram
Sahoo, Jagannath
Vatwani, Akshaa  
DOI
10.1016/j.exmath.2024.125603
Volume
42
Issue
5
Abstract
The authors would like to inform the reader that the statement of Theorem 1.1 in [1] should be modified as follows. In addition to the assumption of absolute convergence for [Formula presented]. Moreover, the conclusion of Theorem 1.1 should be modified to the following: [Formula presented] such as the one imposed by Tenenbaum [2] in his discussion of the Selberg–Delange method. The most expedient way of arriving at the asymptotic formula (without the error term) in Theorem 1.1 is to first observe that [Formula presented] respectively. Using the elementary result [Formula presented] of the above theorem, which of course is the content of the third author's paper [3]. We thank Frederik Broucke for pointing out these lacunae in our paper.
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URI
https://repository.iitgn.ac.in/handle/IITG2025/28761
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