Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
3 place Victor Hugo
Case 19
13331 Marseille Cedex 3

Extreme values of quadratic Dirichlet L-functions over function fields

Gopal Maiti
I2M, CNRS & Indian Statistical Institute, Kolkata

Date(s) : 28/03/2023   iCal
11h00 - 12h00

We prove an Ω-result for the quadratic Dirichlet L-function |L(1/2, χP)|, where χP is a quadratic Dirichlet character of modulo irreducible polynomials P associated with hyperelliptic curve of genus g over a fixed finite field 𝔽q in the large genus limit. In particular, we showed that for any ε∈(0, 1/2),

maxP∈𝓟2g+1 |L(1/2, χP)|  ≪ exp( (1/√2 – ε) (ln q) (g (ln ln g) / ln g)½)

This is recent joint work with Pranendu Darbar.


Séminaire Ernest
[su_spacer size= »10″]

Site Sud, Luminy, Ancienne BU, Salle Séminaire2 (RdC)

Catégories Pas de Catégories

Secured By miniOrange