Sums of proper divisors follow the Erd\H{o}s--Kac law

Paul Pollack, Lee Troupe

Type: Preprint

Publication Date: 2021-06-20

Citations: 0

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Sums of proper divisors follow the Erdős--Kac law	2021	Paul Pollack Lee Troupe
+	On the number of prime factors of values of the sum-of-proper-divisors function	2014	Lee Troupe
+	On the number of prime factors of values of the sum-of-proper-divisors function	2014	Lee Troupe
+	On the number of prime factors of values of the sum-of-proper-divisors function	2015	Lee Troupe
+	The range of the sum-of-proper-divisors function	2015	Florian Luca Carl Pomerance
+	An Erdős-Kac theorem for Smooth and Ultra-Smooth integers	2017	Marzieh Mehdizadeh
+ PDF Chat	A localized Erdős-Kac theorem for $\omega_y(p+a)$	2023	Anup B. Dixit M Murty
+ PDF Chat	A Generalization of the Erd\H{o}s-Kac Theorem	2024	Joseph Squillace
+	Variant of a theorem of Erdős on the sum-of-proper-divisors function	2013	Carl Pomerance Hee-Sung Yang
+	An Erdős-Kac theorem for integers with dense divisors	2022	Gérald Tenenbaum Andreas Weingartner
+	Sums of proper divisors follow the Erdős–Kac law	2022	Paul Pollack Lee Troupe
+	Two upper bounds for the Erdős--Hooley Delta-function	2022	Régis de la Bretèche Gérald Tenenbaum
+	On Erdős sums of almost primes	2023	Ofir Gorodetsky Jared Duker Lichtman Mo Dick Wong
+	The distribution of sums and products of additive functions	2018	Greg Martin Lee Troupe
+ PDF Chat	Some arithmetic properties of the sum of proper divisors and the sum of prime divisors	2014	Paul Pollack
+ PDF Chat	An Erdős-Wintner theorem for differences of additive functions	1988	Adolf Hildebrand
+ PDF Chat	An extension of the Erdős-Rényi new law of large numbers	1975	Stephen A. Book
+	On the multiplicative independence between $n$ and $\lfloor αn\rfloor$	2022	David Crnčević Felipe Hernández Kevin Rizk Khunpob Sereesuchart Ran Tao
+ PDF Chat	The distribution of sums and products of additive functions	2020	Greg Martin Lee Troupe
+	A Note On a Method of Erdős and the Stanley-Elder Theorems.	2016	George E. Andrews Emeric Deutsch

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	On the probability that n and f(n) are relatively prime	1970	Robert E. Hall
+ PDF Chat	Some arithmetic properties of the sum of proper divisors and the sum of prime divisors	2014	Paul Pollack
+	On numbers not of the form <Emphasis Type=?Italic?>n</Emphasis>-ω(<Emphasis Type=?Italic?>n</Emphasis>)	2005	Florian Luca
+ PDF Chat	Distributional properties of the largest prime factor	2005	William D. Banks Glyn Harman Igor E. Shparlinski
+	The range of the sum-of-proper-divisors function	2015	Florian Luca Carl Pomerance
+	The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions	1940	Péter L. Erdős Mark Kac
+	On the Central Limit Theorem for the Prime Divisor Function	1969	Patrick Billingsley
+	On the number of prime factors of values of the sum-of-proper-divisors function	2015	Lee Troupe
+ PDF Chat	Infinite families of noncototients	2000	Achim Flammenkamp Florian Luca
+ PDF Chat	On integers not of the form n - φ (n)	1995	Jerzy Browkin Andrzej Schinzel