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On the values of the divisor function

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Publication:926304
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DOI10.1007/s00605-007-0511-3zbMath1241.11115OpenAlexW2077018665MaRDI QIDQ926304

Florian Luca, Igor E. Shparlinski

Publication date: 27 May 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0511-3


zbMATH Keywords

divisor functionvalue setshifted primes


Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution functions associated with additive and positive multiplicative functions (11N60)


Related Items (3)

Compositions and collisions at degree \(p^2\) ⋮ On Karatsuba's problem concerning the divisor function ⋮ Double exponential lower bound for the number of representations of unity by Egyptian fractions



Cites Work

  • Unnamed Item
  • Additive problems for integers with a given number of prime divisors
  • There are infinitely many Carmichael numbers
  • ON THE SUMS OF COMPLEMENTARY DIVISORS
  • On the Number of Carmichael Numbers up to x
  • The Distribution of Values of the Divisor Function d(n)
  • On the difference between the number of prime divisors from subsets for consecutive integers


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