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
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
-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,
-integers,
-free integer,
Möbius function
Article copyright:
© Copyright 1973
American Mathematical Society