Ge Zhang

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20212026

most citedSpace spanned by characteristic exponents

1 citations · 2 across the 9 of their papers we have counts for

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math.NT2026

A Bogomolov property for moduli spaces of polynomials over abelian extensions

Geng-Rui Zhang

Let $d \geq 2$ be an integer, and let $MPoly^{d}$ be the moduli space of degree- $d$ polynomials. For every number field $K$ , we prove that there exists $ε_{K, d} > 0$ such…

math.NT2026

$13$ unknowns over quadratic integer rings and Lucas congruences

Geng-Rui Zhang

For every quadratic number field $K$ , we prove a uniform $3$ -unknown Diophantine definition of integer tuples in $O_{K}$ , allowing finitely many polynomial nonvanishing con…

math.NT2023

Realizability of Some Combinatorial Sequences

Geng-Rui Zhang

A sequence $a = (a_{n})_{n = 1}^{\infty}$ of non-negative integers is called realizable if there is a self-map $T : X \to X$ on a set $X$ such that $a_{n}$ is equal to the number of periodic po…

math.NT2021★ 1 cited

$Q ∖ Z$ is diophantine over $Q$ with 32 unknowns

Geng-Rui Zhang, Zhi-Wei Sun

In 2016 J. Koenigsmann refined a celebrated theorem of J. Robinson by proving that $Q ∖ Z$ is diophantine over $Q$ , i.e., there is a polynomial $P(t,x…

A Bogomolov property for moduli spaces of polynomials over abelian extensions

13 unknowns over quadratic integer rings and Lucas congruences

Realizability of Some Combinatorial Sequences

Q∖Z is diophantine over Q with 32 unknowns

$13$ unknowns over quadratic integer rings and Lucas congruences

$Q ∖ Z$ is diophantine over $Q$ with 32 unknowns