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Perfect quadratic forms and problems of arithmetic minima of quadratic forms. (Russian) Zbl 0675.10022

The paper introduces the notion of perfect indefinite quadratic form (PIQF). To each PIQF there correspond some convex polyhedra which are connected with the representations of the minimum of the given perfect form. Binary PIQF with two common representations of the minimum are discussed in the paper.
Reviewer: G.Gogishvili

MSC:

11H55 Quadratic forms (reduction theory, extreme forms, etc.)
11H06 Lattices and convex bodies (number-theoretic aspects)
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