Generic T-adic exponential sums in one variable

Details Generic T-adic exponential sums in one variable Generic T-adic exponential sums in one variable

2009-01-04

arxiv.org/abs/0901.0354v6

Mathematics

Number Theory

including update proofs of results of 0802.0271

Scientific paper

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

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