Orthogonal Eisenstein series at harmonic points and modular forms of singular weight

نویسندگان

چکیده

We investigate the behaviour of orthogonal non-holomorphic Eisenstein series at their harmonic points by using theta lifts. In case singular weight, we show that can be written as a lift have simple pole $s = 1$ whose residues yield holomorphic modular forms are on boundary and give sufficient condition surjectivity this construction.

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2022

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-022-03011-w