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20042025
most citedGeneric exponential sums associated to Laurent polynomials in one variable

10 citations · 28 across the 30 of their papers we have counts for

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math.NT2025

Multiplication of polynomials over the binary field

Chunlei Liu

Additive Fourier Transform is sdudied. A fast multiplication algorithm for polynomials over the binary field is given. The bit complexity of the algorithm is $O(n(log n)(\log\log n…

math.NT2019

The -adic Riemann Hypothesis For Expnonential Sums

Chunlei Liu, Chuanze Niu

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

math.NT2013

A Class of Six-weight Cyclic Codes and Their Weight Distribution

Yan Liu, Haode Yan, Chunlei Liu

In this paper, a family of six-weight cyclic codes over GF(p) whose duals have two zeros is presented, where p is an odd prime. And the weight distribution of these cyclic codes is…

math.NT2013

Incidence Matrices of Polarized Projective Spaces

Chunlei Liu, Haode Yan

In this paper, we first define a non-degenerate symmetric bilinear form on Fq^4. Then we get an incidence matrix G of Fq^4 by the bilinear form. By its corresponding quadratic form…

math.NT2013

Incidence Matrices of Finite Quadratic Spaces

Chunlei Liu, Yan Liu

In this paper, we first prove the 2-rank of full incidence matrix of PG(n,q) with an odd prime power. Then by the quadratic form defined on PG(n,q), the points of it are classi…

math.NT2012

The prime ideals in every class contain arbitrary large truncated classes

Chunlei Liu

We prove that the prime ideals in every class of a number field contain arbitrary large truncated ideal classes.