1 citations · 2 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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…
Quadratic enrichment of the logarithmic derivative of the zeta function
Margaret Bilu, Wei Ho, Padmavathi Srinivasan +2
We define an enrichment of the logarithmic derivative of the zeta function of a variety over a finite field to a power series with coefficients in the Grothendieck--Witt group. We…
Zeta statistics and Hadamard functions
Margaret Bilu, Ronno Das, Sean Howe
We introduce the Hadamard topology on the Witt ring of rational functions, giving a simultaneous refinement of the weight and point-counting topologies. Zeta functions of algebraic…
Motivic Euler products in motivic statistics
Margaret Bilu, Sean Howe
We formulate and prove an analog of Poonen's finite-field Bertini theorem with Taylor conditions that holds in the Grothendieck ring of varieties. This gives a broad generalization…
Motivic Euler products and motivic height zeta functions
Margaret Bilu
A motivic height zeta function associated to a family of varieties parametrised by a curve is the generating series of the classes, in the Grothendieck ring of varieties, of moduli…