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Shells of selfdual lattices viewed as spherical designs

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Published in International Journal of Algebra and Computation. 2005, vol. 15, no. 5/6, p. 1085-1127
Abstract We find out for which $t$ shells of selfdual lattices and of theirs shadows are spherical $t$-designs. The method uses theta series of lattices, which are modular forms. We analyse fully cubic and Witt lattices, as well as all selfdual lattices of rank at most 24.
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PACHE, Claude. Shells of selfdual lattices viewed as spherical designs. In: International Journal of Algebra and Computation, 2005, vol. 15, n° 5/6, p. 1085-1127. https://archive-ouverte.unige.ch/unige:12149

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Deposited on : 2010-10-19

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