10 citations · 28 across the 30 of their papers we have counts for
7 papers · 1 filter
A sup-Hodge bound for exponential sums
Chunlei Liu
The -function of -adic exponential sums is studeid. An explicit arithmetic bound is established for the Newton polygon of the -function. This polygon lies above the Hodge…
Twisted exponential sums of polynomials in one variable
Chunlei Liu, Wenxin Liu
The twisted -adic exponential sum associated to a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial i…
Generic twisted -adic exponential sums of polynomials
Chunlei Liu, Chuanze Niu
The twisted -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…
Generic twisted -adic exponential sums of binomials
Chunlei Liu, Chuanze Niu
The twisted -adic exponential sum associated to is studied. If then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted -fun…
-adic exponential sums of polynomials in one variable
Chunlei Liu, Wenxin Liu
The -adic exponential sum of a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lo…
T-adic exponential sums under diagonal base change
Chunlei Liu
Twistec T-adic exponential sums are studied. As an application, the behavior of the L-function under diagonal base chang is explicitely given.