Kritika Aggarwal

Affiliation: Indraprastha Institute of Information Technology

Title Of Talk: Periodicity associated with a certain class of Arithmetical function of Chandrasekharan and Narasimhan type

Abstract: In this talk, we discuss the almost periodic properties of the error term associated with a certain class of arithmetical functions introduced by Chandrasekharan and Narasimhan. By employing a Voronoi-type identity for the corresponding error term, we prove that it belongs to the Besicovitch space $B^2$ of almost periodic functions. Moreover, we establish that the error term also lies in the Besicovitch spaces $B^3$ and $B^4$. As a consequence of this almost periodicity, we show that the error term admits a limiting distribution.

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