Rankin-Selberg L-functions via good sections

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this article, we revisit Rankin-Selberg integrals established by Jacquet, Piatetski-Shapiro and Shalika. We prove the equality of Rankin-Selberg local factors defined with Schwartz-Bruhat functions and the factors attached to good sections, introduced by Piatetski-Shapiro and Rallis. Moreover, we propose a notion of exceptional poles in the framework of good sections. For cases of Rankin-Selberg, Asai and exterior square L-functions, the exceptional poles are consistent with well-known exceptional poles which characterize certain distinguished representations.

Original languageEnglish
Pages (from-to)1039-1074
Number of pages36
JournalForum Mathematicum
Issue number4
StatePublished - 1 Jul 2020

Bibliographical note

Publisher Copyright:
© 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.


  • Exceptional poles
  • good sections


Dive into the research topics of 'Rankin-Selberg L-functions via good sections'. Together they form a unique fingerprint.

Cite this