The proof of Minkowski's hypothesis on product of~$n$ linear inhomogeneous forms with~$n$ variables for~$n\leq5$
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 2, Tome 33 (1973), pp. 6-36

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@article{ZNSL_1973_33_a1,
     author = {B. F. Skubenko},
     title = {The proof of {Minkowski's} hypothesis on product of~$n$ linear inhomogeneous forms with~$n$ variables for~$n\leq5$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {6--36},
     publisher = {mathdoc},
     volume = {33},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1973_33_a1/}
}
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B. F. Skubenko. The proof of Minkowski's hypothesis on product of~$n$ linear inhomogeneous forms with~$n$ variables for~$n\leq5$. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 2, Tome 33 (1973), pp. 6-36. http://geodesic.mathdoc.fr/item/ZNSL_1973_33_a1/