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 2023Show all

3 papers · 1 filter

math.NT2023

Large values of quadratic Dirichlet $L$ -functions over monic irreducible polynomial in $F_{q} [t]$

Pranendu Darbar, Gopal Maiti

We prove an $Ω$ -result for the quadratic Dirichlet $L$ -function $∣ L (1/2, χ_{P}) ∣$ over irreducible polynomials $P$ associated with the hyperelliptic curve of genus $g$ over a fixed f…

math.NT2023

Asymmetric Distribution of Extreme Values of Cubic $L$ -functions at $s = 1$

Pranendu Darbar, Chantal David, Matilde Lalin +1

We investigate the distribution of values of cubic Dirichlet $L$ -functions at $s = 1$ . Following ideas of Granville and Soundararajan for quadratic $L$ -functions, we model the distri…

math.NT2023★ 2 cited

A dichotomy for extreme values of zeta and Dirichlet L-functions

Andriy Bondarenko, Pranendu Darbar, Markus Valås Hagen +2

We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maxi…

Large values of quadratic Dirichlet L-functions over monic irreducible polynomial in Fq​[t]

Asymmetric Distribution of Extreme Values of Cubic L-functions at s=1

A dichotomy for extreme values of zeta and Dirichlet L-functions

Large values of quadratic Dirichlet $L$ -functions over monic irreducible polynomial in $F_{q} [t]$

Asymmetric Distribution of Extreme Values of Cubic $L$ -functions at $s = 1$