Theta-series of even unimodular lattices
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 4, Tome 112 (1981), pp. 59-70

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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 $N=32$.
@article{ZNSL_1981_112_a4,
     author = {V. A. Erokhin},
     title = {Theta-series of even unimodular lattices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {59--70},
     publisher = {mathdoc},
     volume = {112},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_112_a4/}
}
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V. A. Erokhin. Theta-series of even unimodular lattices. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 4, Tome 112 (1981), pp. 59-70. http://geodesic.mathdoc.fr/item/ZNSL_1981_112_a4/