K. Tsang

collaborators

3 papers

math.NT2026

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

Kin Ming Tsang

Let $π$ 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 the…

math.NT2025

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…

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