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Automorphic distributions and the functional equation for the standard L-function for G₂
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Bate, Brandon. Automorphic distributions and the functional equation for the standard L-function for G₂. Retrieved from https://doi.org/doi:10.7282/T33B5X5S

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TitleAutomorphic distributions and the functional equation for the standard L-function for G₂
NameBate, Brandon (author); Miller, Stephen D (chair); Iwaniec, Henryk (internal member); Carbone, Lisa (internal member); Feigon, Brooke (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2013
Other Date2013-10 (degree)
SubjectMathematics, Lie groups, Automorphic functions
Extentvi, 134 p. : ill.
DescriptionIn 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.
NotePh.D.
NoteIncludes bibliographical references
NoteIncludes vita
Noteby Brandon Bate
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T33B5X5S
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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