2 papers
math.RA2025
A characterization of root systems from the viewpoint of denominator formulae
Hiroki Aoki, Hiraku Kawanoue
Root systems are sets with remarkable symmetries and therefore they appear in many situations in mathematics. Among others, denominator formulae of root systems are very beautiful…
math.NT2024
Formal series of Jacobi forms
Hiroki Aoki, Tomoyoshi Ibukiyama, Cris Poor
We prove for general paramodular level that formal series of scalar Jacobi forms with an involution condition necessarily converge and are therefore the Fourier-Jacobi expansions a…