3 papers
math.NT2026
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…
math.NT2025
Lang--Trotter Conjecture for CM Elliptic Curves
Daqing Wan, Ping Xi
Given an elliptic curve over and non-zero integer , the Lang--Trotter conjecture predicts a striking asymptotic formula for the number of good primes $p\leqslan…
math.AG2025
A Class of Incomplete Character Sums
Lei Fu, Daqing Wan
Using -adic cohomology of tensor inductions of lisse -sheaves, we study a class of incomplete character sums.