Geodesic
On the number of irreducible coverings of an integer matrix
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 935-940 
E. V. Dyukova. On the number of irreducible coverings of an integer matrix. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 935-940. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The metric (quantitative) properties of the set of coverings of an integer matrix are examined. an asymptotic estimate for the logarithm of the typical number of irredundant $\sigma$-coverings is obtained in the case when the number of rows in the matrix is not smaller than the number of its columns. as a consequence, a similar estimate is derived for the number of maximal conjunctions of a boolean function of $n$ variables with the number of zeros no less than $n$.

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