TY - JOUR TI - Automorphic distributions and the functional equation for the standard L-function for G₂ DO - https://doi.org/doi:10.7282/T33B5X5S PY - 2013 AB - In this thesis we calculate a series expansion for automorphic distributions on the Lie group for the split real form of g2. We then define distributional analogues of the function and the metaplectic Eisenstein series, which have many of the desirable properties of their smooth counterparts. In conclusion, we prove a functional equation for metaplectic Eisenstein distributions. It is believed that with these results, it should be possible to define a distributional version of the Rankin-Selberg integral given in [6], from which we should be able to derive the archimedean functional equation for the standard L-function of generic, cuspidal automorphic representations of the Lie group for the split real form of g2. KW - Mathematics KW - Lie groups KW - Automorphic functions LA - eng ER -