Limit Theorems for Empirical Density of Greatest Common Divisors

DOI10.1017/S0305004116000426zbMath1371.11009arXiv1310.7260OpenAlexW2962855105MaRDI QIDQ5360419

Behzad Mehrdad, Lingjiong Zhu

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7260

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (4)

Divisibility properties of random samples of integers ⋮ Wasserstein distance, Fourier series and applications ⋮ Large and moderate deviation principles for Engel continued fractions ⋮ On the least common multiple of several random integers

Cites Work

• Fundamentals of Stein's method
• Asymptotic normality and greatest common divisors
• Arithmetical Functions of a Greatest Common Divisor. I
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