Math @ Duke

Publications [#320411] of Jayce R. Getz
Papers Published
 Getz, JR, A fourvariable automorphic kernel function,
Research in Mathematical Sciences, vol. 3 no. 1
(December, 2016), Springer Nature [doi]
(last updated on 2019/08/23)
Abstract: © 2016, The Author(s). 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.


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