On theta series attached to maximal lattices and their adjoints

zbMath1225.11048arXiv0909.1184MaRDI QIDQ3013359

Gabriele Nebe, Siegfried Böcherer

Publication date: 18 July 2011

Full work available at URL: https://arxiv.org/abs/0909.1184

zbMATH Keywords

modular formstheta seriesextremal latticesmaximal lattices

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (4)

Spherical designs and modular forms of the \(D_4\) lattice ⋮ Modular lattices from a variation of construction A over number fields ⋮ On the kernel of the theta operator mod \(p\) ⋮ Generators of graded rings of modular forms

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