Some inequalities with integral means.
Toader, Gheorghe, Raşa, Ioan (1996)
General Mathematics
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Toader, Gheorghe, Raşa, Ioan (1996)
General Mathematics
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Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
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Augustus DeMorgan
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Brahmagupta
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Andrzej Grzegorczyk (1956)
Fundamenta Mathematicae
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Yahya Ould Hamidoune, Alain Plagne (2002)
Acta Arithmetica
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(2009)
Acta Arithmetica
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M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)
Fundamenta Mathematicae
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Yong-Gao Chen (2005)
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John Leslie
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Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)
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Alexander E. Patkowski (2021)
Czechoslovak Mathematical Journal
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We consider an asymptotic analysis for series related to the work of Hardy and Littlewood (1923) on Diophantine approximation, as well as Davenport. In particular, we expand on ideas from some previous work on arithmetic series and the RH. To accomplish this, Mellin inversion is applied to certain infinite series over arithmetic functions to apply Cauchy's residue theorem, and then the remainder of terms is estimated according to the assumption of the RH. In the last section, we use...
Bin Feng (2019)
Czechoslovak Mathematical Journal
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).