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math.NT2003
Zeta functions of totally ramified p-covers of the projective line
Hanfeng Li, Hui June Zhu
In this paper we prove that there exists a Zariski dense open subset U defined over the rationals Q in the space of all one-variable rational functions with arbitrary k poles of pr…
math.NT2003
L-functions of Exponential sums over one-dimensional affinoid: Newton over Hodge
Hui June Zhu
Let p be a prime and let F_pbar be the algebraic closure of the finite field of p elements. Let f(x) be any one variable rational function over F_pbar with n poles of orders d_1, .…