K. Tsang

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20242026

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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

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…

An absolute bound for generalized Diophantine tuples over polynomial rings

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

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