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math.NT2012
A Note on the Mean Value of --functions in Function Fields
Julio Andrade
An asymptotic formula for the sum is established for a family of hyperelliptic curves of genus over a fixed finite field as ma…
math.NT2012★ 53 cited
The Mean Value of in the Hyperelliptic Ensemble
J. C. Andrade, J. P. Keating
We obtain an asymptotic formula for the first moment of quadratic Dirichlet --functions over function fields at the central point . Specifically, we compute the…