Kin Ming Tsang

collaborators

5 papers

math.NT2026

An absolute bound for generalized Diophantine tuples over polynomial rings

Kin Ming Tsang, Chi Hoi Yip

Let $F$ be an algebraically closed field of characteristic $0$ . Let $k \geq 2$ be an integer, and let $n \in F [x] ∖ {0}$ . We study generalized Diophantine tup…

math.NT2026

Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)

Kin Ming Tsang

We consider a variant of the strong multiplicity one theorem. Let $I ¨ _{1}$ and $I ¨ _{2}$ be two unitary cuspidal automorphic representations for $GL (2)$ that are not twist-…

math.NT2026

Conjectural decomposition of symmetric powers of automorphic representations for $GL (n)$

Kin Ming Tsang

Let $I ¨ $ be a cuspidal automorphic representation for $GL (n)$ over a number field. We establish a conditional upper bound on the number of cuspidal isobaric summands in th…

math.NT2026

Bipartite Diophantine tuples and their applications

Kin Ming Tsang, Chi Hoi Yip

This paper investigates bipartite variants of generalized Diophantine tuples and their applications. We generalize a result of Bugeaud--Dujella on a special family of bipartite Dio…

math.NT2025

Explicit zero-free regions for automorphic $L$ -functions

Steven Creech, Alia Hamieh, Simran Khunger +3

Let $L (s, f)$ be the $L$ -function associated with a newform $f$ of even weight $k$ , squarefree level $N$ and trivial nebentypus. In this paper, we establish a new explicit zero-free…

An absolute bound for generalized Diophantine tuples over polynomial rings

Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)

Conjectural decomposition of symmetric powers of automorphic representations for GL(n)

Bipartite Diophantine tuples and their applications

Explicit zero-free regions for automorphic L-functions

Conjectural decomposition of symmetric powers of automorphic representations for $GL (n)$

Explicit zero-free regions for automorphic $L$ -functions