Weizhe Zheng

activity

20102026

most citedOdds and ends on finite group actions and traces

93 citations · 220 across the 19 of their papers we have counts for

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5 papers · 1 filter

math.NT2026

Distribution modulo one of linear recurrent sequences

Zhangchi Chen, Zihao Ye, Weizhe Zheng

We study the distribution modulo one of linear recurrent sequences of real numbers. We prove criteria for the finiteness of the set of limit values of the fractional parts of such…

math.NT2026

Alternating geometric progressions modulo one and Sturmian words

Qing Lu, Weizhe Zheng

Let $b \geq 2$ be an integer. Using Sturmian words we describe all irrational real numbers $ξ$ such that the image in $R / Z$ of the sequence $(ξ (- b)^{n})_{n \geq 0}$ is…

math.NT2026

Fractional parts of powers of negative rationals

Qing Lu, Weizhe Zheng

We prove that for any real number $ξ \neq = 0$ and any coprime integers $p > q \geq 1$ such that $ξ$ is irrational or $q > 1$ , the image in $R / Z$ of the sequence $(ξ(-p/q)^…

math.NT2020

On the distribution of multivariate Jacobi sums

Qing Lu, Weizhe Zheng

Let $F_{q}$ be a finite field of $q$ elements. We show that the normalized Jacobi sum $q^{- (m - 1) /2} J (χ_{1}, \dots, χ_{m})$ ( $χ_{1} \dots χ_{m}$ nontrivial) is asymptotically equidistr…

math.NT2013★ 3 cited

On the distribution of Jacobi sums

Qing Lu, Weizhe Zheng, Zhiyong Zheng

Let $F_{q}$ be a finite field of $q$ elements. For multiplicative characters $χ_{1}, \dots, χ_{m}$ of $F_{q}^{\times}$ , we let $J (χ_{1}, \dots, χ_{m})$ denote the Jacobi sum. Nic…