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On the quantity of numbers of special form depending on the parity of the number of their different prime divisors

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Publication:745639
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DOI10.1134/S0001434615050296zbMath1339.11083OpenAlexW2331467985MaRDI QIDQ745639

M. E. Changa

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615050296


zbMATH Keywords

Perron's formulaDirichlet generating seriesEuler's identityCauchy's integral theoremprime divisornatural number


Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05)


Related Items (3)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ On a sum of Legendre symbols ⋮ On integers whose number of prime divisors belongs to a given residue class



Cites Work

  • Unnamed Item
  • A property of the set of primes as a multiplicative basis of the natural numbers
  • On a problem of Gelfond: the sum of digits of prime numbers
  • Primes in special intervals and additive problems with such numbers
  • Numbers whose prime divisors lie in special intervals
  • A property of the set of prime numbers


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