Chuanze Niu

activity

20092019

most citedGeneric T-adic exponential sums in one variable

4 citations · 5 across the 5 of their papers we have counts for

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math.NT2019

The $p$ -adic Riemann Hypothesis For Expnonential Sums

Chunlei Liu, Chuanze Niu

The $L$ -function of exponential sums associated to the generic polynomial of degree $d$ in $n$ variables over a finite field of characteristic $p$ is studied. A polygon called the…

math.NT2016

$(1^{3} + 1) (2^{3} + 1) \dots (n^{3} + 1)$ is not a cube

Chuan Ze Niu

For a positive integer $n,$ define $C_{n} = k = 1 \prod n (k^{3} + 1) .$ In this paper we prove that there are no cubes in the integer sequence $C_{n}, n = 1, 2, \dots .$

math.NT2009

Generic twisted $T$ -adic exponential sums of polynomials

Chunlei Liu, Chuanze Niu

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…

math.NT2009★ 1 cited

Generic twisted $T$ -adic exponential sums of binomials

Chunlei Liu, Chuanze Niu

The twisted $T$ -adic exponential sum associated to $x^{d} + λ x$ is studied. If $λ \neq = 0,$ then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted $C$ -fun…

math.NT2009★ 4 cited

Generic T-adic exponential sums in one variable

Chunlei Liu, Wenxin Liu, Chuanze Niu

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 $C$ -fun…

The p-adic Riemann Hypothesis For Expnonential Sums

(13+1)(23+1)⋯(n3+1) is not a cube

Generic twisted T-adic exponential sums of polynomials

Generic twisted T-adic exponential sums of binomials

Generic T-adic exponential sums in one variable

The $p$ -adic Riemann Hypothesis For Expnonential Sums

$(1^{3} + 1) (2^{3} + 1) \dots (n^{3} + 1)$ is not a cube

Generic twisted $T$ -adic exponential sums of polynomials

Generic twisted $T$ -adic exponential sums of binomials