Orthogonal Eisenstein series and theta lifts

نویسندگان

چکیده

We show that the additive Borcherds lifts of vector-valued non-holomorphic Eisenstein series are orthogonal for [Formula: see text]. Using this we give another proof they have a meromorphic continuation, calculate their Fourier expansion and functional equation analogous to classical case. Moreover, will investigate image lift sufficient condition surjectivity.

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ژورنال

عنوان ژورنال: International Journal of Number Theory

سال: 2023

ISSN: ['1793-7310', '1793-0421']

DOI: https://doi.org/10.1142/s1793042123500641