A four-variable automorphic kernel function


Journal Article

© 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.

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