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- W2516144937 abstract "We obtain an asymptotic formula for the fourth moment of quadratic Dirichlet $L$--functions over $mathbb{F}_q[x]$, as the base field $mathbb{F}_q$ is fixed and the genus of the family goes to infinity. According to conjectures of Andrade and Keating, we expect the fourth moment to be asymptotic to $q^{2g+1} P(2g+1)$ up to an error of size $o(q^{2g+1})$, where $P$ is a polynomial of degree $10$ with explicit coefficients. We prove an asymptotic formula with the leading three terms, which agrees with the conjectured result." @default.
- W2516144937 created "2016-09-16" @default.
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- W2516144937 date "2016-09-05" @default.
- W2516144937 modified "2023-09-27" @default.
- W2516144937 title "The fourth moment of quadratic Dirichlet $L$--functions over function fields" @default.
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