English

Generic twisted $T$-adic exponential sums of binomials

Number Theory 2009-11-30 v1 Algebraic Geometry

Abstract

The twisted TT-adic exponential sum associated to xd+λxx^{d}+\lambda x is studied. If λ0,\lambda\neq0, then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted CC-function of the T-adic exponential sum. It gives the Newton polygons of the LL-functions of twisted pp-power order exponential sums.

Keywords

Cite

@article{arxiv.0911.5182,
  title  = {Generic twisted $T$-adic exponential sums of binomials},
  author = {Chunlei Liu and Chuanze Niu},
  journal= {arXiv preprint arXiv:0911.5182},
  year   = {2009}
}
R2 v1 2026-06-21T14:16:42.463Z