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Definite orthogonal modular forms: computations, excursions, and discoveries

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....

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Detalles Bibliográficos
Autores principales: Assaf, Eran, Fretwell, Dan, Ingalls, Colin, Logan, Adam, Secord, Spencer, Voight, John
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9583295/
https://www.ncbi.nlm.nih.gov/pubmed/36283022
http://dx.doi.org/10.1007/s40993-022-00373-2