Shanwen Wang

collaborators

4 papers

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.NT2026

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.NT2026

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.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…

p-adic Hahn series with sparse support

Hyper-algebraic invariants of p-adic algebraic numbers

Log p-divisible groups and semi-stable representations

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

$p$ -adic Hahn series with sparse support

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

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

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