A Siegel cusp form of degree 12 and weight 12

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dc.creatorBorcherds, Richard E.
dc.creatorFreitag, E.
dc.creatorWeissauer, R.
dc.date1998-05-28
dc.date.accessioned2026-07-07T05:24:53Z
dc.date.available2026-07-07T05:24:53Z
dc.descriptionThe theta series of the two unimodular even positive definite lattices of rank 16 are known to be linearly dependent in degree at most 3 and linearly independent in degree 4. In this paper we consider the next case of the 24 Niemeier lattices of rank 24. The associated theta series are linearly dependent in degree at most 11 and linearly independent in degree 12. The resulting Siegel cusp form of degree 12 and weight 12 is a Hecke eigenform which seems to have interesting properties.
dc.description12 pages, plain tex
dc.identifierhttps://arxiv.org/abs/math/9805132
dc.identifierhttp://arxiv.org/abs/math/9805132
dc.identifierJ. reine angew. Math 494 (1998) 141-153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76977
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleA Siegel cusp form of degree 12 and weight 12
dc.typetext

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