6 citations · 6 across the 5 of their papers we have counts for
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Some families of supersingular Artin-Schreier curves in characteristic > 2
Hui June Zhu
In this short paper we prove that the following two 1-dimensional families of Artin-Schreier curves are supersingular: y^7 - y = x^5 + c.x^2 over F_7 y^5 - y = x^7 + c.x over F_5 (…
Hodge-Stickelberger polygons for L-functions of exponential sums of P(x^s)
Regis Blache, Eric Ferard, Hui June Zhu
Let P(x) be a one-variable Laurent polynomial of degree (d_1,d_2) over a finite field of characteristic p. For any fixed positive integer s not divisible by p, we prove that the (n…
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…
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, .…
Asymptotic variation of L functions of one-variable exponential sums
Hui June Zhu
Let d>2 and let p be a prime coprime to d. Let Z_pbar be the ring of integers of Q_pbar. Suppose f(x) is a degree-d polynomial over Qbar and Z_pbar. Let P be a prime ideal over p i…
Group structures of elementary supersingular abelian varieties over finite fields
Hui Zhu
Let A be a supersingular abelian variety over a finite field k. We give an approximate description of the structure of the group A(k) of rational points of A over k in terms of the…