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math.NT2021
Correlation of shifted values of -functions in the hyperelliptic ensemble
Pranendu Darbar, Gopal Maiti
The moments of quadratic Dirichlet -functions over function fields have recently attracted much attention with the work of Andrade and Keating. In this article, we establish low…
math.NT2021
Selberg's Central limit theorem for quadratic Dirichlet L-functions over function fields
Pranendu Darbar, Allysa Lumley
In this article, we study the logarithm of the central value in the symplectic family of Dirichlet -functions associated with the hyperelliptic…