Jiahe Shen

activity

20242026

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2 papers · 1 filter

math.FA2025

High-low method and $p$ -adic Furstenberg set over the plane

Kevin Ren, Jiahe Shen

We establish a $p$ -adic analogue of a recent significant result of Ren-Wang (arXiv:2308.08819) on Furstenberg sets in the Euclidean plane. Building on the $p$ -adic version of the h…

math.CO2025

Groups with pairings, Hall modules, and Hall-Littlewood polynomials

Jiahe Shen, Roger Van Peski

We relate the combinatorics of Hall-Littlewood polynomials to that of abelian $p$ -groups with alternating or Hermitian perfect pairings. Our main result is an analogue of the class…

High-low method and p-adic Furstenberg set over the plane

Groups with pairings, Hall modules, and Hall-Littlewood polynomials

High-low method and $p$ -adic Furstenberg set over the plane