Geodesic
The lower bound for the number of local minima of integral lattices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 9-14
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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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M. O. Avdeeva. The lower bound for the number of local minima of integral lattices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 9-14. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a1/

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