A problem in additive number theory
Author:
Donald Quiring
Journal:
Proc. Amer. Math. Soc. 38 (1973), 250-252
DOI:
https://doi.org/10.1090/S0002-9939-1973-0309893-3
MathSciNet review:
0309893
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Abstract | References | Additional Information
Abstract: For every real number , a sequence
is constructed for which the density of
is
and
has the following property: Given any
distinct positive integers
the sequence consisting of all numbers of the form
has density
.
- [1] P. Erdös and A. Renyi, On some applications of probability methods to additive number theoretic problems, Contributions to Ergodic Theory and Probability (Proc. Conf., Ohio State Univ., Columbus, Ohio, 1970), Springer, Berlin, 1970, pp. 37-44. MR 43 #1938. MR 0276190 (43:1938)
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1973-0309893-3
Article copyright:
© Copyright 1973
American Mathematical Society