Cicek, FatmaFatmaCicekDavidoff, GiulianaGiulianaDavidoffDijols, SarahSarahDijolsHammonds, TrajanTrajanHammondsPollack, AaronAaronPollackRoy, ManamiManamiRoy2025-08-282025-08-282021-04-01http://arxiv.org/abs/2104.09448https://d8.irins.org/handle/IITG2025/20070Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If ? is a cuspidal automorphic representation of G2(A) corresponding to a level one, even weight modular form ? on G2, we define an associated completed standard L-function, ?(?,Std,s). Assuming that a certain Fourier coefficient of ? is nonzero, we prove the functional equation ?(?,Std,s)=?(?,Std,1?s). The proof proceeds via a careful analysis of a Rankin-Selberg integral due to Gurevich and Segal.en-USNumber TheoryRepresentation Theorye-Printe-Print123456789/555