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Creators/Authors contains: "Lalin, Matilde"

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  1. ; ; (, The Quarterly Journal of Mathematics)
    Abstract We compute moments of L-functions associated to the polynomial family of Artin–Schreier covers over $$\mathbb{F}_q$$, where q is a power of a prime p > 2, when the size of the finite field is fixed and the genus of the family goes to infinity. More specifically, we compute the $$k{\text{th}}$$ moment for a large range of values of k, depending on the sizes of p and q. We also compute the second moment in absolute value of the polynomial family, obtaining an exact formula with a lower order term, and confirming the unitary symmetry type of the family. 
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  2. ; ; ; (, Research in Number Theory)
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