A four-variable automorphic kernel function

Journal Article (Journal Article)

Let F be a number field, let A be its ring of adeles, and let g , g , h , h ∈ GL (A ). 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 (A ). Here K is the typical kernel function representing the action of a test function on the space of π. F 1 2 1 2 2 F 2 F π

Full Text

Duke Authors

Cited Authors

  • Getz, JR

Published Date

  • December 1, 2016

Published In

Volume / Issue

  • 3 / 1

Electronic International Standard Serial Number (EISSN)

  • 2197-9847

International Standard Serial Number (ISSN)

  • 2522-0144

Digital Object Identifier (DOI)

  • 10.1186/s40687-016-0069-6

Citation Source

  • Scopus