Displaying similar documents to “The A. M. -G. M. inequality as a rearrangement inequality.”

A note on arithmetic Diophantine series

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...