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Search: id:A037219
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| A037219 |
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Theta series for 10-dimensional 4-modular lattice Q10 with minimal norm 4. |
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+0
2
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| 1, 0, 260, 960, 3060, 8704, 16320, 28800, 53300, 87040, 127944, 175680, 262080, 391680, 489600, 600960, 835380, 1131520, 1336900, 1563840, 2054824, 2611200, 2986560, 3358080, 4194240, 5326848, 5859400
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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If there were a 10-dimensional unimodular lattice with minimal norm 2, this would also be its theta series; however, no such lattice exists.
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 416.
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LINKS
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J. H. Conway and N. J. A. Sloane, On lattices equivalent to their duals, J. Number Theory, 48 (1994), 373-382 (Abstract, pdf, ps)
G. Nebe and N. J. A. Sloane, Home page for Q10 lattice
E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.
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CROSSREFS
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Sequence in context: A015929 A139408 A154379 this_sequence A061224 A108109 A067639
Adjacent sequences: A037216 A037217 A037218 this_sequence A037220 A037221 A037222
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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