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Square-Full Divisors of Square-Full Integers

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Published/Copyright: May 31, 2010
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Integers
From the journal Volume 10 Issue 2

Abstract

We consider some general real moments associated with square-full divisors of square-full numbers and compute the contribution to these moments given by the square divisors.

Keywords.: Divisors; square-full integers; Dirichlet series; Riemann zeta-function
Received: 2009-08-17
Accepted: 2010-02-11
Published Online: 2010-05-31
Published in Print: 2010-May

© de Gruyter 2010

Articles in the same Issue

  1. Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions
  2. Multiplicities of Integer Arrays
  3. Adjugates of Diophantine Quadruples
  4. A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral
  5. On a Variant of Van Der Waerden's Theorem
  6. Note on a Result of Haddad and Helou
  7. Sequences of Density ζ(k) – 1
  8. Square-Full Divisors of Square-Full Integers
  9. Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms
https://doi.org/10.1515/integ.2010.020
Keywords for this article
Divisors; square-full integers; Dirichlet series; Riemann zeta-function

Articles in the same Issue

  1. Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions
  2. Multiplicities of Integer Arrays
  3. Adjugates of Diophantine Quadruples
  4. A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral
  5. On a Variant of Van Der Waerden's Theorem
  6. Note on a Result of Haddad and Helou
  7. Sequences of Density ζ(k) – 1
  8. Square-Full Divisors of Square-Full Integers
  9. Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms
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