A G2-period of a Fourier coefficient of an Eisenstein series on E6

Aaron Pollack, Chen Wan, Michał Zydor

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We calculate a G2-period of a Fourier coefficient of a cuspidal Eisenstein series on the split simply-connected group E6, and relate this period to the Ginzburg-Rallis period of cusp forms on GL6. This gives us a relation between the Ginzburg-Rallis period and the central value of the exterior cube L-function of GL6.

Original languageEnglish (US)
Pages (from-to)229-279
Number of pages51
JournalIsrael Journal of Mathematics
Volume234
Issue number1
DOIs
StatePublished - Oct 1 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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