On Integers Free of Large Prime Factors

Adolf Hildebrand, Gérald Tenenbaum

Type: Article

Publication Date: 1986-07-01

Citations: 40

DOI: https://doi.org/10.2307/2000573

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Transactions of the American Mathematical Society - View

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+	Bounding smooth integers (extended abstract)	1998	Daniel J. Bernstein
+ PDF Chat	The sharp threshold for making squares	2018	Paul Balister Béla Bollobás Robert Morris
+	Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables	2020	Régis de la Bretèche Sary Drappeau
+	Rigorous analysis of a randomised number field sieve	2017	Jonathan D. Lee Ramarathnam Venkatesan
+ PDF Chat	Arithmetic Progressions	2005
+	Integers, without large prime factors, in arithmetic progressions. II	1993	Andrew Granville
+ PDF Chat	On a conjecture of Soundararajan	2021	William D. Banks Igor E. Shparlinski
+ PDF Chat	On Arithmetic Progressions	1996
+	Explicit estimates for the distribution of numbers free of large prime factors	2017	Jared Duker Lichtman Carl Pomerance
+ PDF Chat	Oscillation Theorems for Primes in Arithmetic Progressions and for Sifting Functions	1991	John Friedlander Andrew Granville Adolf Hildebrand Helmut Maier

Works Cited by This (6)

Action	Title	Year	Authors
+	A property of the counting function of integers with no large prime factors	1986	Douglas Hensley
+	Numbers with small prime factors, and the least 𝑘th power non-residue	1971	Karl K. Norton
+	On a problem of Oppenheim concerning “factorisatio numerorum”	1983	E. Rodney Canfield Paul Erdős Carl Pomerance
+	On numbers with small prime divisors	1969	Veikko Ennola
+	On the frequency of numbers containing prime factors of a certain relative magnitude	1930	Kern W. Dickman
+	The Difference between Consecutive Prime Numbers	1938	R. A. Rankin