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On the values of equivariant zeta functions of curves over finite fields

On the values of equivariant zeta functions of curves over finite fields

Let K/k be a finite Galois extension of global function fields of characteristic p . Let C_K denote the smooth projective curve that has function field K and set G:= \operatorname{Gal}(K/k) . We conjecture a formula for the leading term in the Taylor expansion at zero of the G -equivariant …