Publications (80)
Divisibility of Frobenius eigenvalues on -adic cohomology
Hélène Esnault, Daqing Wan
v2: For a projective variety defined over a finite field with elements, it is shown that as algebraic integers, the eigenvalues of the geometric Frobenius acting on -adic…
Artin Conjecture for p-adic Galois Representations of Function Fields
Ruochuan Liu, Daqing Wan
For a global function field K of positive characteristic p, we show that Artin conjecture for L-functions of geometric p-adic Galois representations of K is true in a non-trivial p…
Power moments of Kloosterman sums
Ke Gong, Willem Veys, Daqing Wan
In this paper we give an essential treatment for estimating arbitrary integral power moments of Kloosterman sums over the residue class ring. For prime moduli we derive explicit es…
Lucas-type congruences for cyclotomic -coefficients
Zhi-Wei Sun, Daqing Wan
Let p be any prime and a be a positive integer. For nonnegative integers l,n and an integer r, the normalized cyclotomic -coefficient $${n,r}_{l,p^a}:=p^{-[(n-p^{a-1}-lp^a)/(p^…
Revisiting Dwork cohomology: Visibility and divisibility of Frobenius eigenvalues in rigid cohomology
Daqing Wan, Dingxin Zhang
We study Frobenius eigenvalues of the compactly supported rigid cohomology of a variety defined over a finite field of elements via Dwork's method. A couple of arithmetic conse…
On deep-holes of Gabidulin codes
Weijun Fang, Li-Ping Wang, Daqing Wan
In this paper, we determine the covering radius and a class of deep holes for Gabidulin codes with both rank metric and Hamming metric. Moreover, we give a necessary and sufficient…