3 papers
math.AC2026
On near atomicity and a characterization of the FF property
Jonathan Du, Felix Gotti, Leo Hong
A commutative cancellative monoid is atomic if every nonunit factors into atoms, and an integral domain is atomic if its multiplicative monoid of nonzero elements is atomic. Severa…
math.NT2026
Uniform Diophantine approximation with restrictions via total density of collections of subspaces
Leo Hong, Dmitry Kleinbock, Vasiliy Neckrasov
In 1926 Khintchine introduced a topological argument proving the existence of uncountably many nontrivial singular linear forms of variables. Throughout the years, this…
math.AC2025
On finitary power monoids of linearly orderable monoids
Jiya Dani, Felix Gotti, Leo Hong +2
A commutative monoid is called a linearly orderable monoid if there exists a total order on that is compatible with the monoid operation. The finitary power monoid of a com…