Zeping Hao

collaborators

3 papers

math.NT2026

Explicit Hecke eigenform product identities for Hilbert modular forms

Zeping Hao, Chao Qin, Yang Zhou

Let $F$ be a totally real number field, and $g, f, h$ be Hilbert modular forms over $F$ that are Hecke eigenforms satisfying $g = f \cdot h$ . We characterize such product identities amo…

math.NT2026

Algebraic functional equation for big Galois representations over multiple $Z_{p}$ -extensions

Zeping Hao, Meng Fai Lim

We present a general approach to establish algebraic functional equations for big Galois representations over multiple $Z_{p}$ -extensions. Our result is formulated in both S…

math.NT2025

P-adic Rankin-Selberg L-functions in universal deformation families and functional equations

Zeping Hao, David Loeffler

We construct a $p$ -adic Rankin-Selberg $L$ -function associated to the product of two families of modular forms, where the first is an ordinary (Hida) family, and the second an arbi…

Explicit Hecke eigenform product identities for Hilbert modular forms

Algebraic functional equation for big Galois representations over multiple Zp​-extensions

P-adic Rankin-Selberg L-functions in universal deformation families and functional equations

Algebraic functional equation for big Galois representations over multiple $Z_{p}$ -extensions