Anirban Mukhopadhyay

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20222026

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math.NT2023

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 $d \geq 3$ , almost all $(α_1…

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 $d \geq 2$ , strictly increasing sequences $(a_n^{(1)}),\ldots, (a_n^{(…

math.NT2022

On the explicit Galois group of $Q (a_{1}, a_{2}, \dots, a_{n}, ζ_{d})$ over $Q$

Karthick Babu C G, Anirban Mukhopadhyay, Sehra Sahu

Let $S = {a_{1}, a_{2}, \dots, a_{n}}$ be a finite set of non-zero integers. In \cite{KBAM21}, Karthick Babu and Anirban Mukhopadhyay calculated the explicit structure of the Ga…

Poissonian pair correlation for higher dimensional real sequences

On higher dimensional Poissonian pair correlation

On the explicit Galois group of Q(a1​​,a2​​,…,an​​,ζd​) over Q

On the explicit Galois group of $Q (a_{1}, a_{2}, \dots, a_{n}, ζ_{d})$ over $Q$