Tapas Chatterjee

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math.NT2024

Special values of derivatives of certain $L$ -functions

Tapas Chatterjee, Sonika Dhillon

In this paper we address the question of non-vanishing of $L^{'} (0, f)$ where $f$ is an algebraic valued periodic function. In 2011, Gun, Murty and Rath studied the nature of special v…

math.NT2024

On characterization of prime divisors of the index of a quadrinomial

Tapas Chatterjee, Karishan Kumar

Let $θ$ be an algebraic integer and $f (x) = x^{n} + a x^{n - 1} + b x + c$ be the minimal polynomial of $θ$ over the rationals. Let $K = Q (θ)$ be a number field and $O_{K}$ be…

math.NT2024

On characterization of Monogenic number fields associated with certain quadrinomials and its applications

Tapas Chatterjee, Karishan Kumar

Let $f (x) = x^{n} + a x^{3} + b x + c$ be the minimal polynomial of an algebraic integer $θ$ over the rationals with certain conditions on $a, b, c,$ and $n .$ Let $K = Q (θ)$ be a numb…

math.NT2024

Linear independence of $q$ -analogue of the generalized Stieltjes constants over number fields

Tapas Chatterjee, Sonam Garg

In this article, we aim to extend the research conducted by Chatterjee and Garg in 2024, particularly focusing on the $q$ -analogue of the generalized Stieltjes constants. These con…

math.NT2024

On arithmetic nature of $q$ -analogue of the generalized Stieltjes constants

Tapas Chatterjee, Sonam Garg

In this article, our aim is to extend the research conducted by Kurokawa and Wakayama in 2003, particularly focusing on the $q$ -analogue of the Hurwitz zeta function. Our specific…

math.NT2024

Transcendental nature of $p$ -adic digamma values

Tapas Chatterjee, Sonam Garg

For a fixed prime $p$ , Murty and Saradha (2008) studied the transcendental nature of special values of the $p$ -adic digamma function, denoted as $ψ_{p} (r / p) + γ_{p}$ . This research was…

Special values of derivatives of certain L-functions

On characterization of prime divisors of the index of a quadrinomial

On characterization of Monogenic number fields associated with certain quadrinomials and its applications

Linear independence of q-analogue of the generalized Stieltjes constants over number fields

On arithmetic nature of q-analogue of the generalized Stieltjes constants

Transcendental nature of p-adic digamma values

Special values of derivatives of certain $L$ -functions

Linear independence of $q$ -analogue of the generalized Stieltjes constants over number fields

On arithmetic nature of $q$ -analogue of the generalized Stieltjes constants

Transcendental nature of $p$ -adic digamma values