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.
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Pollack, A., Wan, C. & Zydor, M. A G2-period of a Fourier coefficient of an Eisenstein series on E6. Isr. J. Math. 234, 229–279 (2019). https://doi.org/10.1007/s11856-019-1919-x
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DOI: https://doi.org/10.1007/s11856-019-1919-x