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- W4282002153 abstract "We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After reviewing algorithms to compute with these spaces, we investigate endoscopy using theta series and a theorem of Rallis. Along the way, we exhibit many examples and pose several conjectures. As a first application, we express counts of Kneser neighbours in terms of coefficients of classical or Siegel modular forms, complementing work of Chenevier-Lannes. As a second application, we prove new instances of Eisenstein congruences of Ramanujan and Kurokawa-Mizumoto type." @default.
- W4282002153 created "2022-06-13" @default.
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- W4282002153 date "2022-03-12" @default.
- W4282002153 modified "2023-10-17" @default.
- W4282002153 title "Definite orthogonal modular forms: Computations, Excursions and Discoveries" @default.
- W4282002153 hasPublicationYear "2022" @default.
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