The Schnirelmann density of the 
-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 | References | Similar Articles | Additional Information
Abstract: The Schnirelmann density of the 
-integers is found for each 
.
- [1] Y. K. Feng and M. V. Subbarao, On the density of (𝑘,𝑟) integers, Pacific J. Math. 38 (1971), 613–618. MR 0308067
- [2] Kenneth Rogers, The Schnirelmann density of the squarefree integers, Proc. Amer. Math. Soc. 15 (1964), 515–516. MR 0163893, https://doi.org/10.1090/S0002-9939-1964-0163893-X
- [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 0285498
- [4] M. V. Subba Rao and V. C. Harris, A new generalization of Ramanujan’s sum, J. London Math. Soc. 41 (1966), 595–604. MR 0200234, https://doi.org/10.1112/jlms/s1-41.1.595
integers, Pacific J. Math. 38 (1971), 613-618. 
-free integers in residue classes, Duke Math. J. 38 (1971), 741-748. MR 44 #2716. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10L10
Retrieve articles in all journals with MSC: 10L10
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1973-0376598-2
Keywords:
Schnirelmann density,
-integers,
-free integer,
Möbius function
Article copyright:
© Copyright 1973
American Mathematical Society
