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Durham e-Theses
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A Singular Theta Lift in SU(1,1)

STANBRA, LUKE (2015) A Singular Theta Lift in SU(1,1). Doctoral thesis, Durham University.

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Following the work of Bruinier and Funke in the orthogonal setting, we consider a regularised theta lift from weight 0 harmonic weak Maass forms on non-compact
quotients of SU(1,1) to meromorphic modular forms of weight 2, and realise the result of the lift as a generating series of modular traces of those Maass forms on CM points. We also lift the non-holomorphic Eisenstein series of weight 0 and realise the derivative of a suitably normalised weight 2 Eisenstein series as the lift of the logarithm of the modular Delta function.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:automorphic forms; theta lift; modular traces
Faculty and Department:Faculty of Science > Mathematical Sciences, Department of
Thesis Date:2015
Copyright:Copyright of this thesis is held by the author
Deposited On:03 Sep 2015 15:41

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