Weizhe Zheng

collaborators

6 papers

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.DS2025

On a question of Astorg and Boc Thaler

Zhangchi Chen, Zihao Ye, Weizhe Zheng

Astorg and Boc Thaler studied the dynamics of certain skew-products $f$ tangent to the identity on $C^{2}$ , with two real parameters $α > 1$ and $β$ derived from its coefficie…

math.AG2025

Hodge-Riemann polynomials

Qing Lu, Weizhe Zheng

We show that Schur classes of ample vector bundles on smooth projective varieties satisfy Hodge-Riemann relations on $H^{p, q}$ under the assumption that $H^{p - 2, q - 2}$ vanishes. Mor…

math.AG2025

Slopes and weights of $ℓ$ -adic cohomology of rigid spaces

Qing Lu, Weizhe Zheng

We prove that Frobenius eigenvalues of $ℓ$ -adic cohomology and $ℓ$ -adic intersection cohomology of rigid spaces over $p$ -adic local fields are algebraic integers and we give…

Distribution modulo one of linear recurrent sequences

Alternating geometric progressions modulo one and Sturmian words

Fractional parts of powers of negative rationals

On a question of Astorg and Boc Thaler

Hodge-Riemann polynomials

Slopes and weights of ℓ-adic cohomology of rigid spaces

Slopes and weights of $ℓ$ -adic cohomology of rigid spaces