12 citations · 12 across the 6 of their papers we have counts for
7 papers
Poissonian pair correlation for higher dimensional real sequences
Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay
In this article, we examine the Poissonian pair correlation (PPC) statistic for higher-dimensional real sequences. Specifically, we demonstrate that for , almost all $(α_1…
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…
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^{(…
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…
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…
Combinatorial properties of sparsely totient numbers
Mithun Kumar Das, Pramod Eyyunni, Bhuwanesh Rao Patil
Let and where denotes the Euler's totient function. Masser and Shiu \cite{masser} call th…
Sparse subsets of the natural numbers and Euler's totient function
Mithun Kumar Das, Pramod Eyyunni, Bhuwanesh Rao Patil
In this article, we investigate sparse subsets of the natural numbers and study the sparseness of some sets associated with the Euler's totient function via the property of `Ba…