4 papers
The Normal Form of Smith's Matrices
Wenzhong Lei, Han Zhang
For any integers and , let and stand for the greatest common divisor and the least common multiple of and , respectively. We denote by the numbe…
Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold
Hanxue Zhang, Qiulan Zhao, Xinyue Li
We construct a local tri-Hamiltonian structure of the asymmetric (3,1)-type generalized Ablowitz-Ladik (gAL) hierarchy at the full-dispersive level and rigorously prove its validit…
On Zeckendorf-Niven numbers and arithmetic progressions
Kelly Lao, Steven J. Miller, Nicholas Rosa +4
A positive integer is Zeckendorf-Niven (respectively, Lucas-Niven) if it is divisible by the number of summands in its Zeckendorf decomposition (respectively, Lucas decomposition).…
On connectedness in the parametric geometry of numbers
Yuming Wei, Han Zhang
Via multilinear algebra, we formulate a criterion for connectedness in the parametric geometry of numbers in terms of pencils, which are certain algebraic varieties in the space of…