Pitale, AmeyaWagh, Siddhesh2019-08-082019-08-082019-08-01https://hdl.handle.net/11244/321131Muto, Narita and Pitale construct counterexamples to the Generalized Ramanujan Conjecture for GL(2,B) over the division quaternion algebra B with discriminant two via a lift from SL(2). In this dissertation, I characterize the image of this lift in terms of the Fourier coefficients. The previous methods of Maass, Kohnen or Kojima do not apply here, hence I approached this problem via a combination of classical and representation theory techniques to identify the image. Crucially, I used the Jacquet Langlands correspondence described by Badulescu and Renard to characterize the representations.Attribution-ShareAlike 4.0 InternationalNumber TheoryAutomorphic formsRepresentation TheoryMaass formsMAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA