S. Dhillon

collaborators

Showing math.NTShow all

2 papers · 1 filter

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.NT2018

Linear Independence of Harmonic Numbers over the field of Algebraic Numbers

Tapas Chatterjee, Sonika Dhillon

Let $H_{n} = k = 1 \sum n \frac{1}{k}$ be the $n$ -th harmonic number. Euler extended it to complex arguments and defined $H_{r}$ for any complex number $r$ except for the negativ…

Special values of derivatives of certain L-functions

Linear Independence of Harmonic Numbers over the field of Algebraic Numbers

Special values of derivatives of certain $L$ -functions