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math.NT2026
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.NT2024
Zeros of higher derivatives of Riemann zeta function
Mithun Kumar Das, Sudhir Pujahari
In this article, we extend the result of Conrey [5, Theorem 2] to shorter intervals for higher-order derivatives of the zeta function. That is we study the mean value of the produc…