2 papers
math.AG2026
A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
Margaret Bilu, Loïs Faisant
We prove a motivic version of the Poisson formula on the adelic points of a split algebraic torus and apply it to the study of the motivic height zeta function of split projective…
math.AG2025
A motivic circle method
Margaret Bilu, Tim Browning
The circle method has been successfully used over the last century to study rational points on hypersurfaces. More recently, a version of the method over function fields, combined…