P. Darbar

activity

20162026

most citedA dichotomy for extreme values of zeta and Dirichlet L-functions

2 citations · 4 across the 14 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.NT2025

Linear Combinations of Logarithms of $L$ -functions over Function Fields at Microscopic Shifts and Beyond

Fatma Çiçek, Pranendu Darbar, Allysa Lumley

In the function field setting with a fixed characteristic, it was proven by the second and third authors that the values $lo g L (\frac{1}{2}, χ_{D})$ as $D$ varies over…

math.NT2025

On the Distribution and Maximal Behavior of $L (1, χ_{D})$ over Hyperelliptic Curves

Pranendu Darbar

We improve the range of uniformity in the double-exponential decay of the tail of the distribution established by Lumley~\cite{Lumley} for the quadratic Dirichlet $L$ -function $L(1…

math.NT2025

Littlewood's estimates for $L$ -functions in the hyperelliptic ensemble

Emanuel Carneiro, Pranendu Darbar, Mithun Kumar Das +2

We investigate the analogues of certain classical estimates of Littlewood for the Riemann zeta-function in the context of quadratic Dirichlet $L$ -functions over function fields. In…

Linear Combinations of Logarithms of L-functions over Function Fields at Microscopic Shifts and Beyond

On the Distribution and Maximal Behavior of L(1,χD​) over Hyperelliptic Curves

Littlewood's estimates for L-functions in the hyperelliptic ensemble

Linear Combinations of Logarithms of $L$ -functions over Function Fields at Microscopic Shifts and Beyond

On the Distribution and Maximal Behavior of $L (1, χ_{D})$ over Hyperelliptic Curves

Littlewood's estimates for $L$ -functions in the hyperelliptic ensemble