Chunlei Liu
Twisted exponential sums of polynomials in one variable.
Пт, 12/11/2009 - 16:01 — SomNambulAuthors: Chunlei Liu, Wenxin Liu
Subjects: Number Theory
AbstractThe twisted $T$-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 is proved to be a lower bound of the Newton polygon
of the $C$-function of the twisted T-adic exponential sum. This bound gives
lower bounds for the Newton polygon of the $L$-function of twisted $p$-power
order exponential sums.Generic twisted $T$-adic exponential sums of binomials.
Пнд, 11/30/2009 - 16:01 — SomNambulAuthors: Chunlei Liu, Chuanze Niu
Subjects: Number Theory
AbstractThe 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.$T$-adic exponential sums of polynomials in one variable.
Ср, 11/04/2009 - 16:01 — SomNambulAuthors: Chunlei Liu, Wenxin Liu
Subjects: Number Theory
AbstractThe $T$-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 lower bound of the Newton polygon of the
$C$-function of the T-adic exponential sum. This bound gives lower bounds for
the Newton polygon of the $L$-function of exponential sums of $p$-power order.Tisted T-adic exponential sums.
Втр, 09/08/2009 - 12:16 — SomNambulAuthors: Chunlei Liu
Subjects: Number Theory
AbstractTwisted T-adic exponential sums are studied. As an application, the Newton
polygon of the L-function of twisted p-power order exponential sums associated
to diagonal forms are explicitly given.
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