A NUMERICAL STUDY OF SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE 32-DIMENSIONAL EVEN UNIMODULAR EXTREMAL LATTICES

DOI10.2206/KYUSHUJM.70.281zbMath1409.11039OpenAlexW2530491480MaRDI QIDQ3181194

Manabu Oura, Michio Ozeki

Publication date: 23 December 2016

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.70.281

zbMATH Keywords

32-dimensional extremal latticesSiegel theta seriestheta series with spherical functions

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (1)

Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices

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