2 papers
math.CO2025
On the magic positivity of Ehrhart polynomials of dilated polytopes
Masato Konoike
A polynomial of degree is said to be magic positive if all the coefficients are non-negative when is expanded with respect to the basis $\{x^i(x+1)^{d-i}\}_{i=0}^…
math.CO2024
A new class of magic positive Ehrhart polynomials of reflexive polytopes
Masato Konoike
The magic positivity of Ehrhart polynomials is a useful tool for proving the real-rootedness of the -polynomials. In this paper, we provide a new class of reflexive polytop…