Non-standard Limit Theorems in Number Theory

Francesco Cellarosi, Yakov G. Sinai

Type: Book-Chapter

Publication Date: 2012-11-10

Citations: 17

DOI: https://doi.org/10.1007/978-3-642-33549-5_10

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Springer proceedings in mathematics & statistics - View
arXiv (Cornell University) - View - PDF

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+	A Natural Probabilistic Model on the Integers and its Relation to Dickman-Type Distributions and Buchstab's Function	2016	Ross G. Pinsky
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+	On the strange domain of attraction to generalized Dickman distributions for sums of independent random variables	2016	Ross G. Pinsky
+ PDF Chat	A Natural Probabilistic Model on the Integers and Its Relation to Dickman-Type Distributions and Buchstab’s Function	2019	Ross G. Pinsky
+	On the strange domain of attraction to generalized Dickman distributions for sums of independent random variables	2018	Ross G. Pinsky
+	Asymptotic enumeration by Khintchine–Meinardus probabilistic method: necessary and sufficient conditions for sub-exponential growth	2017	Boris L. Granovsky
+	Mod- Convergence	2014	Freddy Delbaen Emmanuel Kowalski Ashkan Nikeghbali
+	Asymptotic enumeration by Khintchine-Meinardus method: Necessary and sufficient conditions for sub exponential growth	2016	Boris L. Granovsky
+ PDF Chat	Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications	2014	Rita Giuliano Claudio Macci
+ PDF Chat	Some recent advances for limit theorems	2020	Benjamin Arras Jean-Christophe Breton Aurelia Deshayes Olivier Durieu Raphaël Lachièze-Rey

Works Cited by This (13)

Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+	Algorithmic Number Theory. Lattices, Number Fields, Curves and Cryptography	2008	Joe Buhler Peter Stevenhagen
+	Integers free of large prime factors and the Riemann hypothesis	1984	Adolf Hildebrand
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg
+	On The Number of Positive Integers ≤ x and Free of Prime Factors > y	1951	N.G. de Bruijn
+ PDF Chat	Gaps in √n mod 1 and ergodic theory	2004	Noam D. Elkies Curtis T. McMullen
+	The asymptotic behaviour of a function occuring in the theory of primes	1951	de Ng Dick Bruijn
+ PDF Chat	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao
+	Smooth numbers: computational number theory and beyond	2008	Andrew Granville
+	Mobius Randomness and Dynamics	2011	Peter Sarnak