2 papers
math.SP2023
Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological!
A. Alexander, D. T. Nguyen, A. Rennie +1
We prove a general Levinson's theorem for Schrödinger operators in two dimensions with threshold obstructions at zero energy. Our results confirm and simplify earlier seminal resul…
math.NT2023
Generalized divisor functions in arithmetic progressions: II
D. T. Nguyen
We obtain a new bound on the second moment of modified shifted convolutions of the generalized 3-fold divisor function, and show that, for applications, the modified version is suf…