Archivio Istituzionale della RicercaWe follow a paper by Sedunova regarding Vaughan's basic mean value Theorem to improve and complete a more general demonstration for a suitable class of arithmetic functions as started by Cojocaru and Murty. As an application we derive a basic mean value theorem for the von Mangoldt generalized functions.
On a basic mean value theorem with explicit exponents / Ferrari, M.. - In: INTERNATIONAL JOURNAL OF NUMBER THEORY. - ISSN 1793-0421. - (2021), pp. 1-18. [10.1142/S1793042122500361]
On a basic mean value theorem with explicit exponents
Ferrari M.
2021
Abstract
We follow a paper by Sedunova regarding Vaughan's basic mean value Theorem to improve and complete a more general demonstration for a suitable class of arithmetic functions as started by Cojocaru and Murty. As an application we derive a basic mean value theorem for the von Mangoldt generalized functions.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2949152