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math.NT2022
The variance of a general class of multiplicative functions in short intervals
Pranendu Darbar, Mithun Kumar Das
We study a general class of multiplicative functions by establishing a connection between their ``short averages" and ``long average". More precisely, we employ Fourier analysis an…
math.NT2022
On higher dimensional Poissonian pair correlation
Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay
In this article we study the pair correlation statistic for higher dimensional sequences. We show that for any , strictly increasing sequences $(a_n^{(1)}),\ldots, (a_n^{(…