ON THE CLASSIFICATION OF EVEN UNIMODULAR LATTICES WITH A COMPLEX STRUCTURE

DOI10.1142/S1793042112500583zbMath1246.11094MaRDI QIDQ2890251

Michael Hentschel, Aloys Krieg, Gabriele Nebe

Publication date: 8 June 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

genusmass formulaunimodular latticeHermitian latticeHermitian theta serieseven latticetheta lattice

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Lattices and convex bodies (number-theoretic aspects) (11H06) Theta series; Weil representation; theta correspondences (11F27) Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (5)

Uniruledness of some low-dimensional ball quotients ⋮ On the classification of lattices over \(\mathbb Q(\sqrt{-3})\) which are even unimodular \(\mathbb Z\)-lattices of rank 32 ⋮ Hermitian theta series and Maaß spaces under the action of the maximal discrete extension of the Hermitian modular group ⋮ Perfect lattices over imaginary quadratic number fields ⋮ Non-vanishing of Miyawaki type lifts

Cites Work

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• Classification of Two Genera of 32-Dimensional Lattices of Rank 8 over the Hurwitz Order
• Hermitian Forms Over Local Fields
• Modular Forms

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