2 papers
math.NT2026
Values of ternary quadratic forms at integers and the Berry-Tabor conjecture for 3-tori
Wooyeon Kim, Jens Marklof, Matthew Welsh
Berry and Tabor conjectured in 1977 that spectra of generic integrable quantum systems have the same local statistics as a Poisson point process. We verify their conjecture in the…
math.NT2025
Representations of binary forms by quaternary quadratic forms
Wooyeon Kim, Andreas Wieser, Pengyu Yang
We prove a local-global principle for representations of binary by quaternary quadratic forms. One of the main ingredients is a recent measure rigidity result of Einsiedler and Lin…