A Siegel cusp form of degree 12 and weight 12

Details A Siegel cusp form of degree 12 and weight 12 A Siegel cusp form of degree 12 and weight 12

1998-05-28

arxiv.org/abs/math/9805132v1

J. reine angew. Math 494 (1998) 141-153

Mathematics

Algebraic Geometry

12 pages, plain tex

Scientific paper

The 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.

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