FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 6, PAGES 9-14

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

M. O. Avdeeva

Abstract

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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.

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Last modified: January 13, 2006