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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2005 Volume 11, Issue 6, Pages 9–14 (Mi fpm879)

This article is cited in 6 papers

The lower bound for the number of local minima of integral lattices

M. O. Avdeevaab

a Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
b Khabarovsk State Pedagogical University

Abstract: A lower bound for the maximal number of local minima of integral lattices with preassigned determinant is derived. This bound coincides with the upper one up to a constant.

UDC: 511.36+511.37


 English version:
Journal of Mathematical Sciences (New York), 2007, 146:2, 5629–5633

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