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math.NT2022
Mollified moments of quadratic Dirichlet -functions over function fields
Julio C. Andrade, Christopher G. Best
We compute asymptotic formulae for the mollified first and second moments for the family of quadratic Dirichlet -functions in the function field setting. As an application, we o…
math.NT2016★ 9 cited
Truncated Product Representations for -Functions in the Hyperelliptic Ensemble
J. C. Andrade, S. M. Gonek, J. P. Keating
We investigate the approximation of quadratic Dirichlet -functions over function fields by truncations of their Euler products. We first establish representations for such -f…