Chao Qin

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20242026

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math.NT2026

Hecke Eigenform Product Identities for Full-Level Hilbert Modular Forms

Dijia Chen, Bowen Gan, Chao Qin +1

We study full-level Hilbert Hecke eigenform product identities over totally real fields of degree at least two, allowing arbitrary compatible narrow class characters. Combining our…

math.NT2025

On even $K$ -groups of rings of integers of real abelian fields

Meng Fai Lim, Chao Qin

We present approaches for calculating the precise orders of the algebraic $K$ -groups $K_{4 n - 2} (O_{K})$ for a totally real abelian $K$ . Along the way, we also establish a fo…

math.NT2025

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.NT2024

On characteristic elements modulo $p$ in non-commutative Iwasawa theory

Meng Fai Lim, Chao Qin

Coates, Fukaya, Kato, Sujatha and Venjakob come up with a procedure of attaching suitable characteristic element to Selmer groups defined over a non-commutative $p$ -adic Lie extens…

math.NT2024

On pseudo-nullity of fine Mordell-Weil group

Meng Fai Lim, Chao Qin, Jun Wang

Let $E$ be an elliptic curve defined over $Q$ with good ordinary reduction at a prime $p \geq 5$ , and let $F$ be an imaginary quadratic field. Under appropriate assumptions…

Hecke Eigenform Product Identities for Full-Level Hilbert Modular Forms

On even K-groups of rings of integers of real abelian fields

Explicit Hecke eigenform product identities for Hilbert modular forms

On characteristic elements modulo p in non-commutative Iwasawa theory

On pseudo-nullity of fine Mordell-Weil group

On even $K$ -groups of rings of integers of real abelian fields

On characteristic elements modulo $p$ in non-commutative Iwasawa theory