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Lifting from SL(2) to GSpin(1,4)
Pitale, Ameya

2006, Doctor of Philosophy, Ohio State University, Mathematics.
We construct liftings of cuspidal automorphic forms from the metaplectic group SL(2) to GSpin(1, 4) using the Maass Converse Theorem. In order to prove the non-vanishing of the lift we derive Waldspurger’s formula for Fourier coefficients of half integer weight Maass forms. We analyze the automorphic representation of the adelic spin group obtained from the lift and show that it is CAP to the Saito-Kurokawa lift from SL(2) to GSp4(A).
Steve Rallis (Advisor)

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Pitale, A. (2006). Lifting from SL(2) to GSpin(1,4). (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Pitale, Ameya. "Lifting from SL(2) to GSpin(1,4)." Electronic Thesis or Dissertation. Ohio State University, 2006. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Pitale, Ameya "Lifting from SL(2) to GSpin(1,4)." Electronic Thesis or Dissertation. Ohio State University, 2006. https://etd.ohiolink.edu/

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