Generic twisted $T$-adic exponential sums of binomials

Details Generic twisted $T$-adic exponential sums of binomials Generic twisted $T$-adic exponential sums of binomials

2009-11-27

arxiv.org/abs/0911.5182v1

Mathematics

Number Theory

Scientific paper

The twisted $T$-adic exponential sum associated to $x^{d}+\lambda x$ is
studied. If $\lambda\neq0,$ then an explicit arithmetic polygon is proved to be
the Newton polygon of the twisted $C$-function of the T-adic exponential sum.
It gives the Newton polygons of the $L$-functions of twisted $p$-power order
exponential sums.

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