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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01wm117r21t
 Title: Integrals of automorphic forms and L-functions Authors: Tsiokos, Lefteris Advisors: Skinner, Chris Contributors: Mathematics Department Keywords: Automorphic formsL-functionsRankin-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. URI: http://arks.princeton.edu/ark:/88435/dsp01wm117r21t 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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