Samprit Ghosh

works on

dirichlet l-functions 1 higher derivatives 1 logarithmic derivative 1 m-functions 1 value distribution 1

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math.NT2026

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

Samprit Ghosh

The paper investigates how the first derivative of the logarithmic derivative of Dirichlet L‑functions is distributed, extending earlier results on M‑functions for real parts great…

math.NT2026

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

Samprit Ghosh

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

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 $\vertÎ±_0…

Distribution of values of higher derivatives of L′(s,I¨)/L(s,I¨)

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 $L^{'} (s, I ¨ ) / L (s, I ¨ )$