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The Schnirelmann density of the $ (k,\,2)$-integers


Author: P. H. Diananda
Journal: Proc. Amer. Math. Soc. 39 (1973), 462-464
MSC: Primary 10L10
DOI: https://doi.org/10.1090/S0002-9939-1973-0376598-2
MathSciNet review: 0376598
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Abstract: The Schnirelmann density of the $ (k,2)$-integers is found for each $ k \geqq 4$.


References [Enhancements On Off] (What's this?)

  • [1] Y. K. Feng and M. V. Subbarao, On the density of $ (k,r)$ integers, Pacific J. Math. 38 (1971), 613-618. MR 0308067 (46:7182)
  • [2] K. Rogers, The Schnirelmann density of the square-free integers, Proc. Amer. Math. Soc. 15 (1964), 515-516. MR 29 #1192. MR 0163893 (29:1192)
  • [3] M. V. Subbarao and Y. K. Feng, On the distribution of generalized $ k$-free integers in residue classes, Duke Math. J. 38 (1971), 741-748. MR 44 #2716. MR 0285498 (44:2716)
  • [4] M. V. Subbarao and V. C. Harris, A new generalization of Ramanujan's sum, J. London Math. Soc. 41 (1966), 595-604. MR 34 #133. MR 0200234 (34:133)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0376598-2
Keywords: Schnirelmann density, $ (k,2)$-integers, $ r$-free integer, Möbius function
Article copyright: © Copyright 1973 American Mathematical Society

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