A property of the set of primes as a multiplicative basis of the natural numbers

DOI10.1134/S1064562411040107zbMath1252.11072MaRDI QIDQ656379

Anatolii A. Karatsuba

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Perron's formulaprime factormultiplicative basissquare-free numberasymptotic formula for counting functioncomplex integrationDirichlet's generating function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Primes (11A41)

Related Items (4)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ Scientific achievements of Anatolii Alekseevich Karatsuba ⋮ On the quantity of numbers of special form depending on the parity of the number of their different prime divisors ⋮ On integers whose number of prime divisors belongs to a given residue class

Cites Work

• Some problems of contemporary analytic number theory
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