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math.NT2016★ 7 cited
On Artin L-functions and Gassmann Equivalence for Global Function Fields
Pavel Solomatin
In this paper we present an approach to study arithmetical properties of global function fields by working with Artin L-functions. In particular we recall and then extend a criteri…
math.NT2016
L-functions of Genus Two Abelian Coverings of Elliptic Curves over Finite Fields
Pavel Solomatin
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…