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- W1551200548 abstract "The law of large numbers for the empirical density for the pairs of uniformly distributed integers with a given greatest common divisor is a classic result in number theory. In this paper, we study the large deviations of the empirical density. We will also obtain a rate of convergence to the normal distribution for the central limit theorem. Some generalizations are provided." @default.
- W1551200548 created "2016-06-24" @default.
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- W1551200548 date "2013-10-27" @default.
- W1551200548 modified "2023-10-16" @default.
- W1551200548 title "Limit Theorems for Empirical Density of Greatest Common Divisors" @default.
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- W1551200548 doi "https://doi.org/10.48550/arxiv.1310.7260" @default.
- W1551200548 hasPublicationYear "2013" @default.
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