Abstract
It is proved that the twelve theta-series of the even unimodular 24-dimensional lattices are linearly independent and one finds all the relations among the k-th theta-series of these lattices for k≤4.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 86, pp. 82–93, 1979.
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Erokhin, V.A. Theta-series of even unimodular 24-dimensional lattices. J Math Sci 17, 1999–2008 (1981). https://doi.org/10.1007/BF01465457
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DOI: https://doi.org/10.1007/BF01465457