Shanwen Wang

activity

20202026

most citedUniformizer of the False Tate Curve Extension of

Q_{p}

2 citations · 2 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.NT2026

$p$ -adic Hahn series with sparse support

Shanwen Wang, Yijun Yuan

Let $p$ be a prime number. We introduce a sparseness condition on the supports of $p$ -adic Hahn series, and prove that this condition implies transcendence over $\breve{\mathbf Q}_…

math.NT2025

On the $p$ -adic transcendence of $\sum_{k = 1}^{\infty} p^{- 1/ p^{k}}$

Shanwen Wang, Yijun Yuan

Let $p$ be a prime number. In this article, we prove that the $p$ -adic Hahn series $\sum_{k = 1}^{\infty} p^{- 1/ p^{k}}$ , which is the mixed-characteristic analogue of Abhyankar's solutio…

math.NT2024

Hyper-algebraic invariants of $p$ -adic algebraic numbers

Shanwen Wang, Yijun Yuan

Let $p \geq 3$ be a prime. The hyper-algebraic elements in the $p$ -adic Mal'cev-Neumann field $L_{p}$ form an algebraically closed subfield $L_{p}^{ha}$ …

math.NT2023

Log $p$ -divisible groups and semi-stable representations

Alessandra Bertapelle, Shanwen Wang, Heer Zhao

Let $O_{K}$ be a henselian DVR with field of fractions $K$ and residue field of characteristic $p > 0$ . Let $S$ denote $Spec O_{K}$ endowed with the…

math.NT2023

Uniformizer of the False Tate Curve Extension of $Q_{p}$ (II)

Shanwen Wang, Yijun Yuan

In this article, we investigate the explicit formula for the uniformizers of the false-Tate curve extension of $Q_{p}$ . More precisely, we establish the formula for the fiel…

math.NT2021

Truncated expansion of $ζ_{p^{n}}$ in the $p$ -adic Mal'cev-Neumann field

Shanwen Wang, Yijun Yuan

Fix an odd prime $p$ . In this article, we provide a $mod p$ harmonic number identity, which appears naturally in the canonical expansion of a root $ζ_{p^{n}}$ of the $p^{n}$ -…

math.NT2020★ 2 cited

Uniformizer of the False Tate Curve Extension of $Q_{p}$

Shanwen Wang, Yijun Yuan

Let $p \geq 3$ be a prime number. In this article, we study the canonical expansion of the primitive $p^{n}$ -th root of unity $ζ_{p^{n}}$ in $p$ -adic Mal'cev-Neumann field $\mathbb{L}_p…

p-adic Hahn series with sparse support

On the p-adic transcendence of ∑k=1∞​p−1/pk

Hyper-algebraic invariants of p-adic algebraic numbers

Log p-divisible groups and semi-stable representations

Uniformizer of the False Tate Curve Extension of Qp​ (II)

Truncated expansion of ζpn​ in the p-adic Mal'cev-Neumann field

Uniformizer of the False Tate Curve Extension of Qp​

$p$ -adic Hahn series with sparse support

On the $p$ -adic transcendence of $\sum_{k = 1}^{\infty} p^{- 1/ p^{k}}$

Hyper-algebraic invariants of $p$ -adic algebraic numbers

Log $p$ -divisible groups and semi-stable representations

Uniformizer of the False Tate Curve Extension of $Q_{p}$ (II)

Truncated expansion of $ζ_{p^{n}}$ in the $p$ -adic Mal'cev-Neumann field

Uniformizer of the False Tate Curve Extension of $Q_{p}$