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Theta-series of even unimodular lattices

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Abstract

One investigates higher theta-series of even unimodular N -dimensional lattices. One finds certain relations between the coefficients of the theta-series. One investigates relations between theta-series for N =24 and N =32.

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Literature cited

  1. J.-P. Serre, A Course in Arithmetic, Springer-Verlag, New York (1973).

    Google Scholar 

  2. V. A. Erokhin, “On the theta-series of even unimodular 24-dimensional lattices,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,86, 82–93 (1979).

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  3. A. G. Chernyakov, “An example of a 32-dimensional even unimodular lattice,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,86, 170–179 (1979).

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  4. M. Broué and M. Enguehard, “Une famille infinie de formes quadratiaues entières; leurs groupes d'automorphismes,” Ann. Sci. École Norm. Sup.,6, No. 1, 17–51 (1973).

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  5. A. Ogg, Modular Forms and Dirichlet Series, Benjamin, New York (1969).

    Google Scholar 

  6. J.-I. Igusa, “On Siegel modular forms of genus two. II,” Am. J. Math.,86, No. 2, 219–246 (1964).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 112, pp. 59–70, 1981.

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Erokhin, V.A. Theta-series of even unimodular lattices. J Math Sci 25, 1012–1020 (1984). https://doi.org/10.1007/BF01680824

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  • DOI: https://doi.org/10.1007/BF01680824

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