2 papers
math.NT2026
Repellent properties of perfect powers on partition functions: a heuristic approach
Summer Haag, Praneel Samanta, Swati +3
In 2013, Sun conjectured that the partition function is never a perfect power for . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…
math.CO2025
Toward a Canonical Representation of Blocked Rectangular Grids with an Application to Finite Tiling Problems
Noah Jensen, Stephanie Treneer
Given the collection of all rectangular grids which have a fixed number of blocked cells, we explicitly describe a proper subset of the collection whic…