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Title: Integrals of automorphic forms and L-functions
Authors: Tsiokos, Lefteris
Advisors: Skinner, Chris
Contributors: Mathematics Department
Keywords: Automorphic forms
Rankin-Selberg integral
Subjects: Mathematics
Issue Date: 2014
Publisher: Princeton, NJ : Princeton University
Abstract: This Thesis consists of two topics. The first topic (Chapter 2) is about extending the $GL_ntimes GL_{n-1}$ Rankin-Selberg integral to certain cases that the automorphic forms that are involved are relative rank one Eisenstein series. The main result is an expression of the residues as $GL_{n-1}\times GL_{n-2}$ Rankin-Selberg integrals for cusp forms. The other topic (Chapter 3) is about symplectic integrals of cusp forms on GL(2n). The main result is a generalization of the Rankin-Selberg integral representing the exterior cube L-function on GL(6). At this moment we cannot extract any information for L-functions from this identity. We hope that this will be possible in the future.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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