Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 3
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Feigon, Brooke 2012. A relative trace formula for PGL(2) in the local setting. Pacific Journal of Mathematics, Vol. 260, Issue. 2, p. 395.

    Feigon, Brooke Lapid, Erez and Offen, Omer 2012. On representations distinguished by unitary groups. Publications mathématiques de l'IHÉS, Vol. 115, Issue. 1, p. 185.

    Jacquet, Hervé 2010. Distinction by the quasi-split unitary group. Israel Journal of Mathematics, Vol. 178, Issue. 1, p. 269.

  • Journal of the Institute of Mathematics of Jussieu, Volume 5, Issue 2
  • April 2006, pp. 263-308


  • Erez M. Lapid (a1)
  • DOI:
  • Published online: 18 January 2006

The relative trace formula is a tool in the theory of automorphic forms which was invented by Jacquet in order to study period integrals and relate them to Langlands functoriality. In this paper we give an analogue of Arthur’s spectral expansion of the trace formula to the relative setup in the context of $\text{GL}_n$. This is an important step toward application of the relative trace formula and it extends earlier work by several authors to higher rank. Our method is new and based on complex analysis and majorization of Eisenstein series. To that end we use recent lower bounds of Brumley for Rankin–Selberg $L$-functions at the edge of the critical strip.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of the Institute of Mathematics of Jussieu
  • ISSN: 1474-7480
  • EISSN: 1475-3030
  • URL: /core/journals/journal-of-the-institute-of-mathematics-of-jussieu
Please enter your name
Please enter a valid email address
Who would you like to send this to? *