39 citations · 207 across the 70 of their papers we have counts for
72 papers
Slope Stability for -Towers of Curves
Daqing Wan
This work is devoted to a systematic study of slope stability for -towers of the projective line over finite fields of characteristic , ramified only at infinity. O…
Norm-trace and Kloosterman sums in finite semi-simple algebras
Daqing Wan
An asymptotic formula with a square root error term is obtained for the number of elements with given trace and norm in a finite semisimple algebra over a finite field. This extend…
On inverted Kloosterman sums over finite fields
Xin Lin, Daqing Wan
The classical -variable Kloosterman sums over finite fields are well understood by Deligne's theorem from complex point of view and by Sperber's theorem from -adic point of v…
Divisibility on point counting over finite Witt rings
Wei Cao, Daqing Wan
Let denote the finite field of elements with characteristic . Let denote the unramified extension of the -adic integers with…
On Deep Holes of Elliptic Curve Codes
Jun Zhang, Daqing Wan
We give a method to construct deep holes for elliptic curve codes. For long elliptic curve codes, we conjecture that our construction is complete in the sense that it gives all dee…
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…