Samprit Ghosh

activity

20242026

collaborators

4 papers

math.NT2026

Distribution of values of higher derivatives of $L^{'} (s, χ) / L (s, χ)$

Samprit Ghosh

In this article, we study the value distribution theory for the first derivative of the logarithmic derivative of Dirichlet $L$ -functions, generalizing certain results of Ihara, Ma…

math.NT2025

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

Samprit Ghosh

Let $χ$ be a non-principal Dirichlet character, and let $L (s, χ)$ be the associated Dirichlet $L$ -function. We write $L (s, χ)$ for its logarithmic derivative $L'(s,χ)/L(s,χ…

math.NT2024

Higher Euler-Kronecker Constants of Number fields

Samprit Ghosh

The higher Euler-Kronecker constants of a number field $K$ are the coefficients in the Laurent series expansion of the logarithmic derivative of the Dedekind zeta function about $s…

math.NT2024

On Certain Polytopes Associated to Products of Algebraic Integer Conjugates

Seda Albayrak, Samprit Ghosh, Greg Knapp +1

Let $d > k$ be positive integers. Motivated by an earlier result of Bugeaud and Nguyen, we let $E_{k, d}$ be the set of $(c_{1}, \dots, c_{k}) \in R_{\geq 0}^{k}$ such that $\vertα_0\…

Distribution of values of higher derivatives of L′(s,χ)/L(s,χ)

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

Higher Euler-Kronecker Constants of Number fields

On Certain Polytopes Associated to Products of Algebraic Integer Conjugates

Distribution of values of higher derivatives of $L^{'} (s, χ) / L (s, χ)$