L-functions of Genus Two Abelian Coverings of Elliptic Curves over Finite Fields
classification
🧮 math.NT
keywords
abeliancoveringscurvesellipticfieldsfinitegenusl-functions
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Initially motivated by the relations between Anabelian Geometry and Artin's L-functions of the associated Galois-representations, here we study the list of zeta-functions of genus two abelian coverings of elliptic curves over finite fields. Our goal is to provide a complete description of such a list.
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