4 papers
math.CO2026
Laurentness of Svinin's even-order recurrences
Qiyue Tang
We prove every term of Svinin's even-order recurrences is a Laurent polynomial in the initial values.
math.QA2026
A Note on Universal Positivity of Rank-Two Quantum Greedy Elements
Qiyue Tang
We prove universal positivity of rank-two quantum greedy elements when or , resolving a conjecture of Lee, Li,Rupel and Zelevinsky.
math.QA2026
Quantum Laurent positivity in rank three
Qiyue Tang
We prove Laurent positivity for skew-symmetrizable quantum cluster algebras of rank three, with arbitrary integral compatible quantizations and invertible frozen variables. The pro…
math.CO2026
Equal Lagrange Numbers with Non-Isomorphic Band Graphs: A Counterexample to Schiffler's Problem 6.3
Qiyue Tang, Yizhi Zhang
We consider the following question: if two lattice paths in the same set have the same Lagrange number, must their band graphs be isomorphic? We exhibit two expl…