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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1973, Volume 33

| General information | Contents |


Studies in number theory. Part 2


Foreword of editor
A. V. Malyshev
4
The proof of Minkowski's hypothesis on product of $n$ linear inhomogeneous forms with $n$ variables for $n\leq5$
B. F. Skubenko
6
On the heory of reduction of positive quadratic forms
S. S. Ryshkov
37
On perfect form $A_n^k$: existence of lattices with non-fundamental simplex of division; existence of perfect forms, which are not reducible in the sense of Minkowski to a form with coefficients
S. S. Ryshkov
65
The Hermite–Minkowski domain for reduced positive quadratic forms with six variables
P. P. Tammela
72
Two notes on Bravais variety
P. P. Tammela
90
A note on star sets
A. V. Malyshev
94
Mordell's method of polar lattices in geometry of numbers
A. V. Malyshev
97
On the sums of squares of squares-free numbers
E. V. Podsypanin
116


© Steklov Math. Inst. of RAS, 2025