Regularized theta lifts for orthogonal groups over totally real fields - Mathematics > Number TheoryReport as inadecuate




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Abstract: We define a regularized theta lift from SL 2 to orthogonal groups overtotally real fields. It takes harmonic `Whittaker forms- to automorphic Greenfunctions and weakly holomorphic Whittaker forms to meromorphic modular formson orthogonal groups with zeros and poles supported on special divisors,generalizing Borcherds- work on automorphic products. To prove our results weuse the spectral expansion of the lift and study its relationship with thecohomological theta lift of Kudla and Millson.



Author: Jan Hendrik Bruinier

Source: https://arxiv.org/







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