3 papers
cs.SC2026
On the Summability Problem of Multivariate Rational Functions in the Mixed Case
Shaoshi Chen, Lixin Du, Hanqian Fang +1
Continuing previous work, this paper focuses on the summability problem of multivariate rational functions in the mixed case in which both shift and -shift operators can appear.…
math.CO2026
On stable patterns and properties on permutations of multisets
Shaoshi Chen, Hanqian Fang, Sergey Kitaev
In this paper, we study properties and patterns on permutations of multisets whose multivariate generating functions are symmetric. We interpret this phenomenon through the lens of…
cs.SC2026
A zero-test for D-algebraic transseries
Shaoshi Chen, Hanqian Fang, Joris van der Hoeven
Consider formal power series that are defined as the solutions of a system of polynomial differential equations together with a sufficient numbe…