Sonam Garg

collaborators

4 papers

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 $I ¨ _{p} (r / p) + I^_{p}^{3}$ . This research wa…

math.NT2024

Algebraic identities among $q$ - analogue of Euler double zeta values

Tapas Chatterjee, Sonam Garg

In 2003, Zudilin presented a $q$ -analogue of Euler's identity for one of the variants of $q$ -double zeta function. This article focuses on exploring identities related to another v…

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

Algebraic identities among q- analogue of Euler double zeta values

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

Algebraic identities among $q$ - analogue of Euler double zeta values