Gauss--Heilbronn Sums and Coverings of Deligne--Lusztig Type Curves

Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima

We study exponential sums on Witt vectors, known as Gauss--Heilbronn sums, and the curves whose Frobenius traces realize these sums via a Deligne--Lusztig type construction. For 3-…