A sup-Hodge bound for exponential sums

Details A sup-Hodge bound for exponential sums A sup-Hodge bound for exponential sums

2009-12-31

arxiv.org/abs/1001.0058v1

Mathematics

Number Theory

Scientific paper

The $C$-function of $T$-adic exponential sums is studeid. An explicit
arithmetic bound is established for the Newton polygon of the $C$-function.
This polygon lies above the Hodge polygon. It gives a sup-Hodge bound of the
$C$-function of $p$-power order exponential sums.

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