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Zapiski Nauchnykh Seminarov POMI
Tome 33 (1973)
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Studies in number theory. Part 2

Sommaire


Foreword of editor
A. V. Malyshev
p. 4-5

The proof of Minkowski's hypothesis on product of $n$ linear inhomogeneous forms with $n$ variables for $n\leq5$
B. F. Skubenko
p. 6-36

On the heory of reduction of positive quadratic forms
S. S. Ryshkov
p. 37-64

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
p. 65-71

The Hermite–Minkowski domain for reduced positive quadratic forms with six variables
P. P. Tammela
p. 72-89

Two notes on Bravais variety
P. P. Tammela
p. 90-93

A note on star sets
A. V. Malyshev
p. 94-96

Mordell's method of polar lattices in geometry of numbers
A. V. Malyshev
p. 97-115

On the sums of squares of squares-free numbers
E. V. Podsypanin
p. 116-131
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