Generic twisted $T$-adic exponential sums of polynomials

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

2009-11-22

arxiv.org/abs/0911.4213v2

Mathematics

Number Theory

16 pages

Scientific paper

The twisted $T$-adic exponential sum associated to a polynomial in one
variable is studied. An explicit arithmetic polygon is proved to be the generic
Newton polygon of the twisted $C$-function of the T-adic exponential sum. It
gives the generic Newton polygon of the twisted $L$-functions of $p^m$-power
order exponential sums, for all $m$.

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