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Bibliographic Details
Main Authors: Ito, Tetsushi, Takeuchi, Daichi, Tsushima, Takahiro
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.11288
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Table of Contents:
  • 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-typical Witt vectors of length two, we analyze Gauss--Heilbronn sums, from which we fully determine the Frobenius slopes of the associated curves.