2 papers
math.NT2025
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-…
math.NT2024
Criteria of maximality and minimality of van der Geer-van der Vlugt curves
Tetsushi Ito, Ren Tatematsu, Takahiro Tsushima
The van der Geer-van der Vlugt curves are Artin-Schreier coverings of the affine line defined by linearized polynomials over finite fields. We give several criteria for them to be…