On the distribution of the number of prime factors of sums $a+b$
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- by P. Erdős, H. Maier and A. Sárközy PDF
- Trans. Amer. Math. Soc. 302 (1987), 269-280 Request permission
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 $a + b$, where $a \in {\mathbf {A}}$, $b \in {\mathbf {B}}$, ${\mathbf {A}}$ and ${\mathbf {B}}$ "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."References
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Additional Information
- © Copyright 1987 American Mathematical Society
- 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