Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Das, Mithun Kumar"'
Autor:
Das, Mithun Kumar
We estimate the number of zeros of a polynomial in $\mathbb{C}[z]$ within any small circular disc centered on the unit circle, which improves and comprehensively extends a result established by Borwein, Erd{\'e}lyi, and Littmann~\cite{BE1} in 2008. F
Externí odkaz:
http://arxiv.org/abs/2407.15306
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 $(\alpha_1,\ldots,\alpha_d) \in \mathbb{R}^d$, the sequence $\big(\{x_n\alp
Externí odkaz:
http://arxiv.org/abs/2310.09541
Autor:
Darbar, Pranendu, Das, Mithun Kumar
We study a general class of multiplicative functions by relating "short averages" to its "long average". More precisely, we estimate asymptotically the variance of such a class of functions in short intervals using Fourier analysis and counting ratio
Externí odkaz:
http://arxiv.org/abs/2208.13238
In this article we study the pair correlation statistic for higher dimensional sequences. We show that for any $d\geq 2$, strictly increasing sequences $(a_n^{(1)}),\ldots, (a_n^{(d)})$ of natural numbers have metric Poissonian pair correlation with
Externí odkaz:
http://arxiv.org/abs/2207.02584
Autor:
Hasan, Khalid, Ahad, Abdul, Das, Mithun Kumar, Akter, Moushumi, Khan, M.N.I., Farhad, Syed Farid Uddin, Taher, Md Abu
Publikováno v:
In Materials Chemistry and Physics 15 October 2024 326
Autor:
Das, Mithun Kumar, Pujahari, Sudhir
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2024 539(1) Part 2
Publikováno v:
In Heliyon 30 June 2024 10(12)
Autor:
Das, Mithun Kumar, Pujahari, Sudhir
Publikováno v:
In Journal of Number Theory May 2024 258:334-367
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2024 530(1)
Autor:
Das, Mithun Kumar, Pujahari, Sudhir
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 product of two finite order derivatives of the zeta function multiplied by a
Externí odkaz:
http://arxiv.org/abs/2104.10243