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Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 29, 2016 17:00, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall


On the integers whose number of prime factors belongs to given class of residues

M. E. Changa

Moscow State Pedagogical University



Abstract: In the talk, we deal with integers with the number of prime factors equal to $l$ modulo $k$.We also require that such prime factors belong to some special set. It appears that the distribution of such numbers for $k$ greater or equal to $3$ differs a lot from the case $k=2$ in dependence on $l$.

Language: Russian and English


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