Publications [#320411] of Jayce R. Getz

Papers Published

1. Getz, JR, A four-variable automorphic kernel function, Research in Mathematical Sciences, vol. 3 no. 1 (December, 2016), Springer Nature [doi]
   (last updated on 2024/04/24)

   Abstract:
   Let F be a number field, let AF be its ring of adeles, and let g1, g2, h1, h2∈ GL 2(AF). We provide an absolutely convergent geometric expression for ∑πKπ(g1,g2)Kπ∨(h1,h2)Ress=1LS(s,π×π∨),where the sum is over isomorphism classes of cuspidal automorphic representations π of GL 2(AF). Here Kπ is the typical kernel function representing the action of a test function on the space of π.