Geodesic
Generalization of the property of the number of divisors function
Matematičeskoe obrazovanie, no. 1 (2023), pp. 2-6 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article studies the question under what conditions the number of representations of a natural number N as a product m of natural numbers is not divisible by m or coprime with m. The case of a simple m is studied, some generalizations to the case of a composite m are given. The work is an independent study of the author under the scientific supervision of Stern Alexandr Savelievich. 
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     author = {D. E. Volovich},
     title = {Generalization of the property of the number of divisors function},
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D. E. Volovich. Generalization of the property of the number of divisors function. Matematičeskoe obrazovanie, no. 1 (2023), pp. 2-6. http://geodesic.mathdoc.fr/item/MO_2023_1_a0/