13 citations · 27 across the 19 of their papers we have counts for
5 papers · 2 filters
A summation formula for triples of quadratic spaces
Jayce R. Getz, Baiying Liu
Let be a triple of even dimensional vector spaces over a number field equipped with nondegenerate quadratic forms , res…
A refined Poisson summation formula for certain Braverman-Kazhdan spaces
Jayce R. Getz, Baiying Liu
Braverman and Kazhdan introduced influential conjectures generalizing the Fourier transform and the Poisson summation formula. Their conjectures should imply that quite general Lan…
Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields
Jayce Robert Getz
Let be a nondegenerate quadratic form on a vector space of even dimension over a number field . Via the circle method or automorphic methods one can give good estima…
An approach to nonsolvable base change and descent
Jayce R. Getz
We present a collection of conjectural trace identities and explain why they are equivalent to base change and descent of automorphic representations of $\mathrm{GL}_n(\mathbb{A}_F…
Twisted relative trace formulae with a view towards unitary groups
Jayce R. Getz, Eric Wambach
We introduce a twisted relative trace formula which simultaneously generalizes the twisted trace formula of Langlands et.al. (in the quadratic case) and the relative trace formula…