On the distribution of the number of prime factors of sums

Authors:
P. Erdős, H. Maier and A. Sárközy

Journal:
Trans. Amer. Math. Soc. **302** (1987), 269-280

MSC:
Primary 11N60

DOI:
https://doi.org/10.1090/S0002-9947-1987-0887509-X

MathSciNet review:
887509

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Abstract | References | Similar Articles | Additional Information

Abstract: We continue a series of investigations by A. Balog and two of the authors (P. Erdös and A. Sárközy) on the arithmetic properties of the elements , where , , and "dense sequences."

The present paper transfers the famous Erdös-Kac theorem on the normal distribution of the number of distinct prime factors of integers to such "sum sequences."

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DOI:
https://doi.org/10.1090/S0002-9947-1987-0887509-X

Article copyright:
© Copyright 1987
American Mathematical Society